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Finding the Fourth Proportional to 10,753.77, 14,842.31 and 6,037.77

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Solution

The fourth proportional to 10,753.77, 14,842.31 and 6,037.77 is: 8,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.77 : 14,842.31 = 6,037.77 : x
  2. Step 2: Convert to fraction form
    10,753.77/14,842.31 = 6,037.77/x
  3. Step 3: Cross multiply
    10,753.77x = 14,842.31 × 6,037.77
  4. Step 4: Simplify right side
    10,753.77x = 89,614,423.86
  5. Step 5: Solve for x
    x = 89,614,423.86/10,753.77
  6. Step 6: Final answer
    x = 8,333.30

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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.