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Finding the Fourth Proportional to 8,098.64, 11,182.92 and 5,454.80

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Solution

The fourth proportional to 8,098.64, 11,182.92 and 5,454.80 is: 7,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.64 : 11,182.92 = 5,454.80 : x
  2. Step 2: Convert to fraction form
    8,098.64/11,182.92 = 5,454.80/x
  3. Step 3: Cross multiply
    8,098.64x = 11,182.92 × 5,454.80
  4. Step 4: Simplify right side
    8,098.64x = 61,000,592.02
  5. Step 5: Solve for x
    x = 61,000,592.02/8,098.64
  6. Step 6: Final answer
    x = 7,532.20

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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.