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Finding the Fourth Proportional to 10,143.72, 14,007.24 and 6,373.42

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Solution

The fourth proportional to 10,143.72, 14,007.24 and 6,373.42 is: 8,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.72 : 14,007.24 = 6,373.42 : x
  2. Step 2: Convert to fraction form
    10,143.72/14,007.24 = 6,373.42/x
  3. Step 3: Cross multiply
    10,143.72x = 14,007.24 × 6,373.42
  4. Step 4: Simplify right side
    10,143.72x = 89,273,988.54
  5. Step 5: Solve for x
    x = 89,273,988.54/10,143.72
  6. Step 6: Final answer
    x = 8,800.91

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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.