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Finding the Fourth Proportional to 10,478.27, 15,714.04 and 3,456.71

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Solution

The fourth proportional to 10,478.27, 15,714.04 and 3,456.71 is: 5,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.27 : 15,714.04 = 3,456.71 : x
  2. Step 2: Convert to fraction form
    10,478.27/15,714.04 = 3,456.71/x
  3. Step 3: Cross multiply
    10,478.27x = 15,714.04 × 3,456.71
  4. Step 4: Simplify right side
    10,478.27x = 54,318,879.21
  5. Step 5: Solve for x
    x = 54,318,879.21/10,478.27
  6. Step 6: Final answer
    x = 5,183.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.