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Finding the Fourth Proportional to 11,418.48, 15,750.72 and 8,442

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Solution

The fourth proportional to 11,418.48, 15,750.72 and 8,442 is: 11,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.48 : 15,750.72 = 8,442 : x
  2. Step 2: Convert to fraction form
    11,418.48/15,750.72 = 8,442/x
  3. Step 3: Cross multiply
    11,418.48x = 15,750.72 × 8,442
  4. Step 4: Simplify right side
    11,418.48x = 132,967,578.24
  5. Step 5: Solve for x
    x = 132,967,578.24/11,418.48
  6. Step 6: Final answer
    x = 11,644.95

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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.