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Finding the Fourth Proportional to 8,314,592.40, 11,390,800.91 and 8,003,731.14

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Solution

The fourth proportional to 8,314,592.40, 11,390,800.91 and 8,003,731.14 is: 10,964,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314,592.40 : 11,390,800.91 = 8,003,731.14 : x
  2. Step 2: Convert to fraction form
    8,314,592.40/11,390,800.91 = 8,003,731.14/x
  3. Step 3: Cross multiply
    8,314,592.40x = 11,390,800.91 × 8,003,731.14
  4. Step 4: Simplify right side
    8,314,592.40x = 91,168,907,912,888.67
  5. Step 5: Solve for x
    x = 91,168,907,912,888.67/8,314,592.40
  6. Step 6: Final answer
    x = 10,964,928.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.