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Finding the Fourth Proportional to 8,285.31, 11,432.88 and 5,098.80

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Solution

The fourth proportional to 8,285.31, 11,432.88 and 5,098.80 is: 7,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.31 : 11,432.88 = 5,098.80 : x
  2. Step 2: Convert to fraction form
    8,285.31/11,432.88 = 5,098.80/x
  3. Step 3: Cross multiply
    8,285.31x = 11,432.88 × 5,098.80
  4. Step 4: Simplify right side
    8,285.31x = 58,293,968.54
  5. Step 5: Solve for x
    x = 58,293,968.54/8,285.31
  6. Step 6: Final answer
    x = 7,035.82

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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.