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Finding the Fourth Proportional to 11,423.88, 15,759.90 and 9,408.60

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Solution

The fourth proportional to 11,423.88, 15,759.90 and 9,408.60 is: 12,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.88 : 15,759.90 = 9,408.60 : x
  2. Step 2: Convert to fraction form
    11,423.88/15,759.90 = 9,408.60/x
  3. Step 3: Cross multiply
    11,423.88x = 15,759.90 × 9,408.60
  4. Step 4: Simplify right side
    11,423.88x = 148,278,595.14
  5. Step 5: Solve for x
    x = 148,278,595.14/11,423.88
  6. Step 6: Final answer
    x = 12,979.71

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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.