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Finding the Fourth Proportional to 8,791.68, 12,121.20 and 5,646.72

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Solution

The fourth proportional to 8,791.68, 12,121.20 and 5,646.72 is: 7,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,791.68 : 12,121.20 = 5,646.72 : x
  2. Step 2: Convert to fraction form
    8,791.68/12,121.20 = 5,646.72/x
  3. Step 3: Cross multiply
    8,791.68x = 12,121.20 × 5,646.72
  4. Step 4: Simplify right side
    8,791.68x = 68,445,022.46
  5. Step 5: Solve for x
    x = 68,445,022.46/8,791.68
  6. Step 6: Final answer
    x = 7,785.20

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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.