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Finding the Fourth Proportional to 10,005.57, 15,004.08 and 3,432.42

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Solution

The fourth proportional to 10,005.57, 15,004.08 and 3,432.42 is: 5,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.57 : 15,004.08 = 3,432.42 : x
  2. Step 2: Convert to fraction form
    10,005.57/15,004.08 = 3,432.42/x
  3. Step 3: Cross multiply
    10,005.57x = 15,004.08 × 3,432.42
  4. Step 4: Simplify right side
    10,005.57x = 51,500,304.27
  5. Step 5: Solve for x
    x = 51,500,304.27/10,005.57
  6. Step 6: Final answer
    x = 5,147.16

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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.