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Finding the Fourth Proportional to 8,456.71, 12,624.56 and 7,349.86

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Solution

The fourth proportional to 8,456.71, 12,624.56 and 7,349.86 is: 10,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.71 : 12,624.56 = 7,349.86 : x
  2. Step 2: Convert to fraction form
    8,456.71/12,624.56 = 7,349.86/x
  3. Step 3: Cross multiply
    8,456.71x = 12,624.56 × 7,349.86
  4. Step 4: Simplify right side
    8,456.71x = 92,788,748.56
  5. Step 5: Solve for x
    x = 92,788,748.56/8,456.71
  6. Step 6: Final answer
    x = 10,972.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.