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Finding the Fourth Proportional to 12,077.71, 18,121.12 and 4,682.61

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Solution

The fourth proportional to 12,077.71, 18,121.12 and 4,682.61 is: 7,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.71 : 18,121.12 = 4,682.61 : x
  2. Step 2: Convert to fraction form
    12,077.71/18,121.12 = 4,682.61/x
  3. Step 3: Cross multiply
    12,077.71x = 18,121.12 × 4,682.61
  4. Step 4: Simplify right side
    12,077.71x = 84,854,126.02
  5. Step 5: Solve for x
    x = 84,854,126.02/12,077.71
  6. Step 6: Final answer
    x = 7,025.68

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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.