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Finding the Fourth Proportional to 8,175.47, 11,284.31 and 5,034.29

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Solution

The fourth proportional to 8,175.47, 11,284.31 and 5,034.29 is: 6,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.47 : 11,284.31 = 5,034.29 : x
  2. Step 2: Convert to fraction form
    8,175.47/11,284.31 = 5,034.29/x
  3. Step 3: Cross multiply
    8,175.47x = 11,284.31 × 5,034.29
  4. Step 4: Simplify right side
    8,175.47x = 56,808,445.15
  5. Step 5: Solve for x
    x = 56,808,445.15/8,175.47
  6. Step 6: Final answer
    x = 6,948.65

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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.