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Finding the Fourth Proportional to 10,753.29, 14,841.02 and 6,037.88

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Solution

The fourth proportional to 10,753.29, 14,841.02 and 6,037.88 is: 8,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.29 : 14,841.02 = 6,037.88 : x
  2. Step 2: Convert to fraction form
    10,753.29/14,841.02 = 6,037.88/x
  3. Step 3: Cross multiply
    10,753.29x = 14,841.02 × 6,037.88
  4. Step 4: Simplify right side
    10,753.29x = 89,608,238.73
  5. Step 5: Solve for x
    x = 89,608,238.73/10,753.29
  6. Step 6: Final answer
    x = 8,333.10

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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.