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Finding the Fourth Proportional to 12,115.32, 16,708.84 and 8,344.59

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Solution

The fourth proportional to 12,115.32, 16,708.84 and 8,344.59 is: 11,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.32 : 16,708.84 = 8,344.59 : x
  2. Step 2: Convert to fraction form
    12,115.32/16,708.84 = 8,344.59/x
  3. Step 3: Cross multiply
    12,115.32x = 16,708.84 × 8,344.59
  4. Step 4: Simplify right side
    12,115.32x = 139,428,419.18
  5. Step 5: Solve for x
    x = 139,428,419.18/12,115.32
  6. Step 6: Final answer
    x = 11,508.44

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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.