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Finding the Fourth Proportional to 12,085.38, 18,097.05 and 7,158.54

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Solution

The fourth proportional to 12,085.38, 18,097.05 and 7,158.54 is: 10,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.38 : 18,097.05 = 7,158.54 : x
  2. Step 2: Convert to fraction form
    12,085.38/18,097.05 = 7,158.54/x
  3. Step 3: Cross multiply
    12,085.38x = 18,097.05 × 7,158.54
  4. Step 4: Simplify right side
    12,085.38x = 129,548,456.31
  5. Step 5: Solve for x
    x = 129,548,456.31/12,085.38
  6. Step 6: Final answer
    x = 10,719.44

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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.