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Finding the Fourth Proportional to 8,218.66, 12,324.34 and 5,098.54

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Solution

The fourth proportional to 8,218.66, 12,324.34 and 5,098.54 is: 7,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.66 : 12,324.34 = 5,098.54 : x
  2. Step 2: Convert to fraction form
    8,218.66/12,324.34 = 5,098.54/x
  3. Step 3: Cross multiply
    8,218.66x = 12,324.34 × 5,098.54
  4. Step 4: Simplify right side
    8,218.66x = 62,836,148.69
  5. Step 5: Solve for x
    x = 62,836,148.69/8,218.66
  6. Step 6: Final answer
    x = 7,645.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.