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Finding the Fourth Proportional to 8,107.83, 12,149.59 and 6,256.17

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Solution

The fourth proportional to 8,107.83, 12,149.59 and 6,256.17 is: 9,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.83 : 12,149.59 = 6,256.17 : x
  2. Step 2: Convert to fraction form
    8,107.83/12,149.59 = 6,256.17/x
  3. Step 3: Cross multiply
    8,107.83x = 12,149.59 × 6,256.17
  4. Step 4: Simplify right side
    8,107.83x = 76,009,900.47
  5. Step 5: Solve for x
    x = 76,009,900.47/8,107.83
  6. Step 6: Final answer
    x = 9,374.88

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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.