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Finding the Fourth Proportional to 12,747.35, 17,591.93 and 7,082.10

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Solution

The fourth proportional to 12,747.35, 17,591.93 and 7,082.10 is: 9,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.35 : 17,591.93 = 7,082.10 : x
  2. Step 2: Convert to fraction form
    12,747.35/17,591.93 = 7,082.10/x
  3. Step 3: Cross multiply
    12,747.35x = 17,591.93 × 7,082.10
  4. Step 4: Simplify right side
    12,747.35x = 124,587,772.04
  5. Step 5: Solve for x
    x = 124,587,772.04/12,747.35
  6. Step 6: Final answer
    x = 9,773.63

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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.