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Finding the Fourth Proportional to 11,262.42, 15,532.71 and 8,436.44

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Solution

The fourth proportional to 11,262.42, 15,532.71 and 8,436.44 is: 11,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.42 : 15,532.71 = 8,436.44 : x
  2. Step 2: Convert to fraction form
    11,262.42/15,532.71 = 8,436.44/x
  3. Step 3: Cross multiply
    11,262.42x = 15,532.71 × 8,436.44
  4. Step 4: Simplify right side
    11,262.42x = 131,040,698.29
  5. Step 5: Solve for x
    x = 131,040,698.29/11,262.42
  6. Step 6: Final answer
    x = 11,635.22

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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.