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Finding the Fourth Proportional to 10,494.76, 15,737.68 and 4,256.14

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Solution

The fourth proportional to 10,494.76, 15,737.68 and 4,256.14 is: 6,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.76 : 15,737.68 = 4,256.14 : x
  2. Step 2: Convert to fraction form
    10,494.76/15,737.68 = 4,256.14/x
  3. Step 3: Cross multiply
    10,494.76x = 15,737.68 × 4,256.14
  4. Step 4: Simplify right side
    10,494.76x = 66,981,769.36
  5. Step 5: Solve for x
    x = 66,981,769.36/10,494.76
  6. Step 6: Final answer
    x = 6,382.40

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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.