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Finding the Fourth Proportional to 11,625.60, 17,427.76 and 5,049.42

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Solution

The fourth proportional to 11,625.60, 17,427.76 and 5,049.42 is: 7,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.60 : 17,427.76 = 5,049.42 : x
  2. Step 2: Convert to fraction form
    11,625.60/17,427.76 = 5,049.42/x
  3. Step 3: Cross multiply
    11,625.60x = 17,427.76 × 5,049.42
  4. Step 4: Simplify right side
    11,625.60x = 88,000,079.90
  5. Step 5: Solve for x
    x = 88,000,079.90/11,625.60
  6. Step 6: Final answer
    x = 7,569.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.