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Finding the Fourth Proportional to 10,474.71, 15,714.56 and 3,079.41

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Solution

The fourth proportional to 10,474.71, 15,714.56 and 3,079.41 is: 4,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.71 : 15,714.56 = 3,079.41 : x
  2. Step 2: Convert to fraction form
    10,474.71/15,714.56 = 3,079.41/x
  3. Step 3: Cross multiply
    10,474.71x = 15,714.56 × 3,079.41
  4. Step 4: Simplify right side
    10,474.71x = 48,391,573.21
  5. Step 5: Solve for x
    x = 48,391,573.21/10,474.71
  6. Step 6: Final answer
    x = 4,619.85

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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.