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Finding the Fourth Proportional to 8,472.65, 11,691.28 and 4,694.87

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Solution

The fourth proportional to 8,472.65, 11,691.28 and 4,694.87 is: 6,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.65 : 11,691.28 = 4,694.87 : x
  2. Step 2: Convert to fraction form
    8,472.65/11,691.28 = 4,694.87/x
  3. Step 3: Cross multiply
    8,472.65x = 11,691.28 × 4,694.87
  4. Step 4: Simplify right side
    8,472.65x = 54,889,039.73
  5. Step 5: Solve for x
    x = 54,889,039.73/8,472.65
  6. Step 6: Final answer
    x = 6,478.38

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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.