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Finding the Fourth Proportional to 12,380.90, 17,082.63 and 7,535.61

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Solution

The fourth proportional to 12,380.90, 17,082.63 and 7,535.61 is: 10,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.90 : 17,082.63 = 7,535.61 : x
  2. Step 2: Convert to fraction form
    12,380.90/17,082.63 = 7,535.61/x
  3. Step 3: Cross multiply
    12,380.90x = 17,082.63 × 7,535.61
  4. Step 4: Simplify right side
    12,380.90x = 128,728,037.45
  5. Step 5: Solve for x
    x = 128,728,037.45/12,380.90
  6. Step 6: Final answer
    x = 10,397.31

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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.