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Finding the Fourth Proportional to 8,175.96, 12,247.88 and 5,394.16

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Solution

The fourth proportional to 8,175.96, 12,247.88 and 5,394.16 is: 8,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.96 : 12,247.88 = 5,394.16 : x
  2. Step 2: Convert to fraction form
    8,175.96/12,247.88 = 5,394.16/x
  3. Step 3: Cross multiply
    8,175.96x = 12,247.88 × 5,394.16
  4. Step 4: Simplify right side
    8,175.96x = 66,067,024.38
  5. Step 5: Solve for x
    x = 66,067,024.38/8,175.96
  6. Step 6: Final answer
    x = 8,080.64

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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.