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Finding the Fourth Proportional to 8,382.18, 11,575.14 and 5,403.15

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Solution

The fourth proportional to 8,382.18, 11,575.14 and 5,403.15 is: 7,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.18 : 11,575.14 = 5,403.15 : x
  2. Step 2: Convert to fraction form
    8,382.18/11,575.14 = 5,403.15/x
  3. Step 3: Cross multiply
    8,382.18x = 11,575.14 × 5,403.15
  4. Step 4: Simplify right side
    8,382.18x = 62,542,217.69
  5. Step 5: Solve for x
    x = 62,542,217.69/8,382.18
  6. Step 6: Final answer
    x = 7,461.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.