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Finding the Fourth Proportional to 10,372.52, 14,314.02 and 5,656.70

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Solution

The fourth proportional to 10,372.52, 14,314.02 and 5,656.70 is: 7,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.52 : 14,314.02 = 5,656.70 : x
  2. Step 2: Convert to fraction form
    10,372.52/14,314.02 = 5,656.70/x
  3. Step 3: Cross multiply
    10,372.52x = 14,314.02 × 5,656.70
  4. Step 4: Simplify right side
    10,372.52x = 80,970,116.93
  5. Step 5: Solve for x
    x = 80,970,116.93/10,372.52
  6. Step 6: Final answer
    x = 7,806.21

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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.