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Finding the Fourth Proportional to 10,474.57, 15,714.56 and 3,079.27

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Solution

The fourth proportional to 10,474.57, 15,714.56 and 3,079.27 is: 4,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.57 : 15,714.56 = 3,079.27 : x
  2. Step 2: Convert to fraction form
    10,474.57/15,714.56 = 3,079.27/x
  3. Step 3: Cross multiply
    10,474.57x = 15,714.56 × 3,079.27
  4. Step 4: Simplify right side
    10,474.57x = 48,389,357.77
  5. Step 5: Solve for x
    x = 48,389,357.77/10,474.57
  6. Step 6: Final answer
    x = 4,619.70

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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.