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Finding the Fourth Proportional to 12,387.39, 17,096.89 and 7,082.17

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Solution

The fourth proportional to 12,387.39, 17,096.89 and 7,082.17 is: 9,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.39 : 17,096.89 = 7,082.17 : x
  2. Step 2: Convert to fraction form
    12,387.39/17,096.89 = 7,082.17/x
  3. Step 3: Cross multiply
    12,387.39x = 17,096.89 × 7,082.17
  4. Step 4: Simplify right side
    12,387.39x = 121,083,081.45
  5. Step 5: Solve for x
    x = 121,083,081.45/12,387.39
  6. Step 6: Final answer
    x = 9,774.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.