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Finding the Fourth Proportional to 10,397.12, 15,592 and 3,470.08

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Solution

The fourth proportional to 10,397.12, 15,592 and 3,470.08 is: 5,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.12 : 15,592 = 3,470.08 : x
  2. Step 2: Convert to fraction form
    10,397.12/15,592 = 3,470.08/x
  3. Step 3: Cross multiply
    10,397.12x = 15,592 × 3,470.08
  4. Step 4: Simplify right side
    10,397.12x = 54,105,487.36
  5. Step 5: Solve for x
    x = 54,105,487.36/10,397.12
  6. Step 6: Final answer
    x = 5,203.89

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