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Finding the Fourth Proportional to 10,039.76, 15,046.20 and 4,491.92

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Solution

The fourth proportional to 10,039.76, 15,046.20 and 4,491.92 is: 6,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.76 : 15,046.20 = 4,491.92 : x
  2. Step 2: Convert to fraction form
    10,039.76/15,046.20 = 4,491.92/x
  3. Step 3: Cross multiply
    10,039.76x = 15,046.20 × 4,491.92
  4. Step 4: Simplify right side
    10,039.76x = 67,586,326.70
  5. Step 5: Solve for x
    x = 67,586,326.70/10,039.76
  6. Step 6: Final answer
    x = 6,731.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.