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Finding the Fourth Proportional to 12,116.74, 18,174.88 and 5,877.26

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Solution

The fourth proportional to 12,116.74, 18,174.88 and 5,877.26 is: 8,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.74 : 18,174.88 = 5,877.26 : x
  2. Step 2: Convert to fraction form
    12,116.74/18,174.88 = 5,877.26/x
  3. Step 3: Cross multiply
    12,116.74x = 18,174.88 × 5,877.26
  4. Step 4: Simplify right side
    12,116.74x = 106,818,479.86
  5. Step 5: Solve for x
    x = 106,818,479.86/12,116.74
  6. Step 6: Final answer
    x = 8,815.78

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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.