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Finding the Fourth Proportional to 7,657.43, 11,471.27 and 4,487.18

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Solution

The fourth proportional to 7,657.43, 11,471.27 and 4,487.18 is: 6,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.43 : 11,471.27 = 4,487.18 : x
  2. Step 2: Convert to fraction form
    7,657.43/11,471.27 = 4,487.18/x
  3. Step 3: Cross multiply
    7,657.43x = 11,471.27 × 4,487.18
  4. Step 4: Simplify right side
    7,657.43x = 51,473,573.53
  5. Step 5: Solve for x
    x = 51,473,573.53/7,657.43
  6. Step 6: Final answer
    x = 6,722.05

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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.