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Finding the Fourth Proportional to 10,030.04, 13,841.42 and 5,614.04

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Solution

The fourth proportional to 10,030.04, 13,841.42 and 5,614.04 is: 7,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.04 : 13,841.42 = 5,614.04 : x
  2. Step 2: Convert to fraction form
    10,030.04/13,841.42 = 5,614.04/x
  3. Step 3: Cross multiply
    10,030.04x = 13,841.42 × 5,614.04
  4. Step 4: Simplify right side
    10,030.04x = 77,706,285.54
  5. Step 5: Solve for x
    x = 77,706,285.54/10,030.04
  6. Step 6: Final answer
    x = 7,747.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.