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Finding the Fourth Proportional to 8,432.86, 11,618.36 and 5,878.22

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Solution

The fourth proportional to 8,432.86, 11,618.36 and 5,878.22 is: 8,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.86 : 11,618.36 = 5,878.22 : x
  2. Step 2: Convert to fraction form
    8,432.86/11,618.36 = 5,878.22/x
  3. Step 3: Cross multiply
    8,432.86x = 11,618.36 × 5,878.22
  4. Step 4: Simplify right side
    8,432.86x = 68,295,276.12
  5. Step 5: Solve for x
    x = 68,295,276.12/8,432.86
  6. Step 6: Final answer
    x = 8,098.71

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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.