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Finding the Fourth Proportional to 8,086.16, 11,158.86 and 4,549.40

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Solution

The fourth proportional to 8,086.16, 11,158.86 and 4,549.40 is: 6,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.16 : 11,158.86 = 4,549.40 : x
  2. Step 2: Convert to fraction form
    8,086.16/11,158.86 = 4,549.40/x
  3. Step 3: Cross multiply
    8,086.16x = 11,158.86 × 4,549.40
  4. Step 4: Simplify right side
    8,086.16x = 50,766,120.80
  5. Step 5: Solve for x
    x = 50,766,120.80/8,086.16
  6. Step 6: Final answer
    x = 6,278.15

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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.