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Finding the Fourth Proportional to 10,472, 15,705.60 and 3,898.88

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Solution

The fourth proportional to 10,472, 15,705.60 and 3,898.88 is: 5,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472 : 15,705.60 = 3,898.88 : x
  2. Step 2: Convert to fraction form
    10,472/15,705.60 = 3,898.88/x
  3. Step 3: Cross multiply
    10,472x = 15,705.60 × 3,898.88
  4. Step 4: Simplify right side
    10,472x = 61,234,249.73
  5. Step 5: Solve for x
    x = 61,234,249.73/10,472
  6. Step 6: Final answer
    x = 5,847.43

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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.