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Finding the Fourth Proportional to 8,879.68, 12,270.24 and 7,696.96

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Solution

The fourth proportional to 8,879.68, 12,270.24 and 7,696.96 is: 10,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,879.68 : 12,270.24 = 7,696.96 : x
  2. Step 2: Convert to fraction form
    8,879.68/12,270.24 = 7,696.96/x
  3. Step 3: Cross multiply
    8,879.68x = 12,270.24 × 7,696.96
  4. Step 4: Simplify right side
    8,879.68x = 94,443,546.47
  5. Step 5: Solve for x
    x = 94,443,546.47/8,879.68
  6. Step 6: Final answer
    x = 10,635.92

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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.