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Finding the Fourth Proportional to 8,107.97, 12,155.47 and 5,442.39

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Solution

The fourth proportional to 8,107.97, 12,155.47 and 5,442.39 is: 8,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.97 : 12,155.47 = 5,442.39 : x
  2. Step 2: Convert to fraction form
    8,107.97/12,155.47 = 5,442.39/x
  3. Step 3: Cross multiply
    8,107.97x = 12,155.47 × 5,442.39
  4. Step 4: Simplify right side
    8,107.97x = 66,154,794.77
  5. Step 5: Solve for x
    x = 66,154,794.77/8,107.97
  6. Step 6: Final answer
    x = 8,159.24

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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.