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Finding the Fourth Proportional to 12,082.29, 18,128.04 and 4,691.93

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Solution

The fourth proportional to 12,082.29, 18,128.04 and 4,691.93 is: 7,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.29 : 18,128.04 = 4,691.93 : x
  2. Step 2: Convert to fraction form
    12,082.29/18,128.04 = 4,691.93/x
  3. Step 3: Cross multiply
    12,082.29x = 18,128.04 × 4,691.93
  4. Step 4: Simplify right side
    12,082.29x = 85,055,494.72
  5. Step 5: Solve for x
    x = 85,055,494.72/12,082.29
  6. Step 6: Final answer
    x = 7,039.68

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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.