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Finding the Fourth Proportional to 10,472.70, 15,714.17 and 4,926.60

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Solution

The fourth proportional to 10,472.70, 15,714.17 and 4,926.60 is: 7,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.70 : 15,714.17 = 4,926.60 : x
  2. Step 2: Convert to fraction form
    10,472.70/15,714.17 = 4,926.60/x
  3. Step 3: Cross multiply
    10,472.70x = 15,714.17 × 4,926.60
  4. Step 4: Simplify right side
    10,472.70x = 77,417,429.92
  5. Step 5: Solve for x
    x = 77,417,429.92/10,472.70
  6. Step 6: Final answer
    x = 7,392.31

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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.