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Finding the Fourth Proportional to 11,324.68, 15,627.67 and 6,288.78

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Solution

The fourth proportional to 11,324.68, 15,627.67 and 6,288.78 is: 8,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.68 : 15,627.67 = 6,288.78 : x
  2. Step 2: Convert to fraction form
    11,324.68/15,627.67 = 6,288.78/x
  3. Step 3: Cross multiply
    11,324.68x = 15,627.67 × 6,288.78
  4. Step 4: Simplify right side
    11,324.68x = 98,278,978.54
  5. Step 5: Solve for x
    x = 98,278,978.54/11,324.68
  6. Step 6: Final answer
    x = 8,678.30

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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.