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Finding the Fourth Proportional to 11,262.24, 15,540.93 and 6,546.78

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Solution

The fourth proportional to 11,262.24, 15,540.93 and 6,546.78 is: 9,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.24 : 15,540.93 = 6,546.78 : x
  2. Step 2: Convert to fraction form
    11,262.24/15,540.93 = 6,546.78/x
  3. Step 3: Cross multiply
    11,262.24x = 15,540.93 × 6,546.78
  4. Step 4: Simplify right side
    11,262.24x = 101,743,049.71
  5. Step 5: Solve for x
    x = 101,743,049.71/11,262.24
  6. Step 6: Final answer
    x = 9,034.00

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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.