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Finding the Fourth Proportional to 7,284.70, 10,927.14 and 3,996.01

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Solution

The fourth proportional to 7,284.70, 10,927.14 and 3,996.01 is: 5,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.70 : 10,927.14 = 3,996.01 : x
  2. Step 2: Convert to fraction form
    7,284.70/10,927.14 = 3,996.01/x
  3. Step 3: Cross multiply
    7,284.70x = 10,927.14 × 3,996.01
  4. Step 4: Simplify right side
    7,284.70x = 43,664,960.71
  5. Step 5: Solve for x
    x = 43,664,960.71/7,284.70
  6. Step 6: Final answer
    x = 5,994.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.