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Finding the Fourth Proportional to 8,781.44, 12,122.64 and 5,642.96

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Solution

The fourth proportional to 8,781.44, 12,122.64 and 5,642.96 is: 7,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.44 : 12,122.64 = 5,642.96 : x
  2. Step 2: Convert to fraction form
    8,781.44/12,122.64 = 5,642.96/x
  3. Step 3: Cross multiply
    8,781.44x = 12,122.64 × 5,642.96
  4. Step 4: Simplify right side
    8,781.44x = 68,407,572.61
  5. Step 5: Solve for x
    x = 68,407,572.61/8,781.44
  6. Step 6: Final answer
    x = 7,790.02

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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.