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Finding the Fourth Proportional to 12,057.76, 18,086.82 and 3,737.68

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Solution

The fourth proportional to 12,057.76, 18,086.82 and 3,737.68 is: 5,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.76 : 18,086.82 = 3,737.68 : x
  2. Step 2: Convert to fraction form
    12,057.76/18,086.82 = 3,737.68/x
  3. Step 3: Cross multiply
    12,057.76x = 18,086.82 × 3,737.68
  4. Step 4: Simplify right side
    12,057.76x = 67,602,745.38
  5. Step 5: Solve for x
    x = 67,602,745.38/12,057.76
  6. Step 6: Final answer
    x = 5,606.58

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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.