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Finding the Fourth Proportional to 10,372.59, 14,314.53 and 5,896.17

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Solution

The fourth proportional to 10,372.59, 14,314.53 and 5,896.17 is: 8,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.59 : 14,314.53 = 5,896.17 : x
  2. Step 2: Convert to fraction form
    10,372.59/14,314.53 = 5,896.17/x
  3. Step 3: Cross multiply
    10,372.59x = 14,314.53 × 5,896.17
  4. Step 4: Simplify right side
    10,372.59x = 84,400,902.35
  5. Step 5: Solve for x
    x = 84,400,902.35/10,372.59
  6. Step 6: Final answer
    x = 8,136.92

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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.