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Finding the Fourth Proportional to 8,832.60, 12,182.64 and 5,685.78

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Solution

The fourth proportional to 8,832.60, 12,182.64 and 5,685.78 is: 7,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.60 : 12,182.64 = 5,685.78 : x
  2. Step 2: Convert to fraction form
    8,832.60/12,182.64 = 5,685.78/x
  3. Step 3: Cross multiply
    8,832.60x = 12,182.64 × 5,685.78
  4. Step 4: Simplify right side
    8,832.60x = 69,267,810.86
  5. Step 5: Solve for x
    x = 69,267,810.86/8,832.60
  6. Step 6: Final answer
    x = 7,842.29

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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.