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Finding the Fourth Proportional to 8,714.41, 13,071.59 and 2,474.43

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Solution

The fourth proportional to 8,714.41, 13,071.59 and 2,474.43 is: 3,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.41 : 13,071.59 = 2,474.43 : x
  2. Step 2: Convert to fraction form
    8,714.41/13,071.59 = 2,474.43/x
  3. Step 3: Cross multiply
    8,714.41x = 13,071.59 × 2,474.43
  4. Step 4: Simplify right side
    8,714.41x = 32,344,734.44
  5. Step 5: Solve for x
    x = 32,344,734.44/8,714.41
  6. Step 6: Final answer
    x = 3,711.64

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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.