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Finding the Fourth Proportional to 10,142.52, 14,001.74 and 6,371.16

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Solution

The fourth proportional to 10,142.52, 14,001.74 and 6,371.16 is: 8,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.52 : 14,001.74 = 6,371.16 : x
  2. Step 2: Convert to fraction form
    10,142.52/14,001.74 = 6,371.16/x
  3. Step 3: Cross multiply
    10,142.52x = 14,001.74 × 6,371.16
  4. Step 4: Simplify right side
    10,142.52x = 89,207,325.82
  5. Step 5: Solve for x
    x = 89,207,325.82/10,142.52
  6. Step 6: Final answer
    x = 8,795.38

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Why These Related Problems?

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