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Finding the Fourth Proportional to 12,077.86, 18,120.72 and 5,838.58

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Solution

The fourth proportional to 12,077.86, 18,120.72 and 5,838.58 is: 8,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.86 : 18,120.72 = 5,838.58 : x
  2. Step 2: Convert to fraction form
    12,077.86/18,120.72 = 5,838.58/x
  3. Step 3: Cross multiply
    12,077.86x = 18,120.72 × 5,838.58
  4. Step 4: Simplify right side
    12,077.86x = 105,799,273.38
  5. Step 5: Solve for x
    x = 105,799,273.38/12,077.86
  6. Step 6: Final answer
    x = 8,759.77

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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.