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Finding the Fourth Proportional to 10,002.92, 15,007.62 and 3,429.16

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Solution

The fourth proportional to 10,002.92, 15,007.62 and 3,429.16 is: 5,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.92 : 15,007.62 = 3,429.16 : x
  2. Step 2: Convert to fraction form
    10,002.92/15,007.62 = 3,429.16/x
  3. Step 3: Cross multiply
    10,002.92x = 15,007.62 × 3,429.16
  4. Step 4: Simplify right side
    10,002.92x = 51,463,530.20
  5. Step 5: Solve for x
    x = 51,463,530.20/10,002.92
  6. Step 6: Final answer
    x = 5,144.85

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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.