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Finding the Fourth Proportional to 10,372.68, 14,314.41 and 5,657.00

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Solution

The fourth proportional to 10,372.68, 14,314.41 and 5,657.00 is: 7,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.68 : 14,314.41 = 5,657.00 : x
  2. Step 2: Convert to fraction form
    10,372.68/14,314.41 = 5,657.00/x
  3. Step 3: Cross multiply
    10,372.68x = 14,314.41 × 5,657.00
  4. Step 4: Simplify right side
    10,372.68x = 80,976,545.80
  5. Step 5: Solve for x
    x = 80,976,545.80/10,372.68
  6. Step 6: Final answer
    x = 7,806.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.