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Finding the Fourth Proportional to 10,564.02, 15,848.46 and 5,368.68

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Solution

The fourth proportional to 10,564.02, 15,848.46 and 5,368.68 is: 8,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.02 : 15,848.46 = 5,368.68 : x
  2. Step 2: Convert to fraction form
    10,564.02/15,848.46 = 5,368.68/x
  3. Step 3: Cross multiply
    10,564.02x = 15,848.46 × 5,368.68
  4. Step 4: Simplify right side
    10,564.02x = 85,085,310.23
  5. Step 5: Solve for x
    x = 85,085,310.23/10,564.02
  6. Step 6: Final answer
    x = 8,054.25

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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.