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Finding the Fourth Proportional to 8,824.26, 12,177.48 and 5,098.26

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Solution

The fourth proportional to 8,824.26, 12,177.48 and 5,098.26 is: 7,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.26 : 12,177.48 = 5,098.26 : x
  2. Step 2: Convert to fraction form
    8,824.26/12,177.48 = 5,098.26/x
  3. Step 3: Cross multiply
    8,824.26x = 12,177.48 × 5,098.26
  4. Step 4: Simplify right side
    8,824.26x = 62,083,959.18
  5. Step 5: Solve for x
    x = 62,083,959.18/8,824.26
  6. Step 6: Final answer
    x = 7,035.60

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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.