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Finding the Fourth Proportional to 10,042.59, 13,865.14 and 6,459.22

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Solution

The fourth proportional to 10,042.59, 13,865.14 and 6,459.22 is: 8,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.59 : 13,865.14 = 6,459.22 : x
  2. Step 2: Convert to fraction form
    10,042.59/13,865.14 = 6,459.22/x
  3. Step 3: Cross multiply
    10,042.59x = 13,865.14 × 6,459.22
  4. Step 4: Simplify right side
    10,042.59x = 89,557,989.59
  5. Step 5: Solve for x
    x = 89,557,989.59/10,042.59
  6. Step 6: Final answer
    x = 8,917.82

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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.