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Finding the Fourth Proportional to 10,372.74, 14,317.17 and 5,896.68

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Solution

The fourth proportional to 10,372.74, 14,317.17 and 5,896.68 is: 8,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.74 : 14,317.17 = 5,896.68 : x
  2. Step 2: Convert to fraction form
    10,372.74/14,317.17 = 5,896.68/x
  3. Step 3: Cross multiply
    10,372.74x = 14,317.17 × 5,896.68
  4. Step 4: Simplify right side
    10,372.74x = 84,423,770.00
  5. Step 5: Solve for x
    x = 84,423,770.00/10,372.74
  6. Step 6: Final answer
    x = 8,139.00

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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.