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Finding the Fourth Proportional to 12,082.70, 18,129.45 and 4,297.10

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Solution

The fourth proportional to 12,082.70, 18,129.45 and 4,297.10 is: 6,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.70 : 18,129.45 = 4,297.10 : x
  2. Step 2: Convert to fraction form
    12,082.70/18,129.45 = 4,297.10/x
  3. Step 3: Cross multiply
    12,082.70x = 18,129.45 × 4,297.10
  4. Step 4: Simplify right side
    12,082.70x = 77,904,059.60
  5. Step 5: Solve for x
    x = 77,904,059.60/12,082.70
  6. Step 6: Final answer
    x = 6,447.57

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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.