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Finding the Fourth Proportional to 8,175.78, 12,265.71 and 2,332.44

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Solution

The fourth proportional to 8,175.78, 12,265.71 and 2,332.44 is: 3,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.78 : 12,265.71 = 2,332.44 : x
  2. Step 2: Convert to fraction form
    8,175.78/12,265.71 = 2,332.44/x
  3. Step 3: Cross multiply
    8,175.78x = 12,265.71 × 2,332.44
  4. Step 4: Simplify right side
    8,175.78x = 28,609,032.63
  5. Step 5: Solve for x
    x = 28,609,032.63/8,175.78
  6. Step 6: Final answer
    x = 3,499.24

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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.