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Finding the Fourth Proportional to 12,380.43, 17,087.17 and 7,347.42

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Solution

The fourth proportional to 12,380.43, 17,087.17 and 7,347.42 is: 10,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.43 : 17,087.17 = 7,347.42 : x
  2. Step 2: Convert to fraction form
    12,380.43/17,087.17 = 7,347.42/x
  3. Step 3: Cross multiply
    12,380.43x = 17,087.17 × 7,347.42
  4. Step 4: Simplify right side
    12,380.43x = 125,546,614.60
  5. Step 5: Solve for x
    x = 125,546,614.60/12,380.43
  6. Step 6: Final answer
    x = 10,140.74

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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.