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Finding the Fourth Proportional to 10,375, 14,318.70 and 5,899.42

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Solution

The fourth proportional to 10,375, 14,318.70 and 5,899.42 is: 8,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375 : 14,318.70 = 5,899.42 : x
  2. Step 2: Convert to fraction form
    10,375/14,318.70 = 5,899.42/x
  3. Step 3: Cross multiply
    10,375x = 14,318.70 × 5,899.42
  4. Step 4: Simplify right side
    10,375x = 84,472,025.15
  5. Step 5: Solve for x
    x = 84,472,025.15/10,375
  6. Step 6: Final answer
    x = 8,141.88

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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.