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Finding the Fourth Proportional to 12,380.22, 17,082.90 and 7,074

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Solution

The fourth proportional to 12,380.22, 17,082.90 and 7,074 is: 9,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.22 : 17,082.90 = 7,074 : x
  2. Step 2: Convert to fraction form
    12,380.22/17,082.90 = 7,074/x
  3. Step 3: Cross multiply
    12,380.22x = 17,082.90 × 7,074
  4. Step 4: Simplify right side
    12,380.22x = 120,844,434.60
  5. Step 5: Solve for x
    x = 120,844,434.60/12,380.22
  6. Step 6: Final answer
    x = 9,761.09

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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.