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Finding the Fourth Proportional to 8,884.47, 12,255.43 and 5,740.66

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Solution

The fourth proportional to 8,884.47, 12,255.43 and 5,740.66 is: 7,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.47 : 12,255.43 = 5,740.66 : x
  2. Step 2: Convert to fraction form
    8,884.47/12,255.43 = 5,740.66/x
  3. Step 3: Cross multiply
    8,884.47x = 12,255.43 × 5,740.66
  4. Step 4: Simplify right side
    8,884.47x = 70,354,183.43
  5. Step 5: Solve for x
    x = 70,354,183.43/8,884.47
  6. Step 6: Final answer
    x = 7,918.78

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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.