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Finding the Fourth Proportional to 8,086.40, 11,159.88 and 4,549.40

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Solution

The fourth proportional to 8,086.40, 11,159.88 and 4,549.40 is: 6,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.40 : 11,159.88 = 4,549.40 : x
  2. Step 2: Convert to fraction form
    8,086.40/11,159.88 = 4,549.40/x
  3. Step 3: Cross multiply
    8,086.40x = 11,159.88 × 4,549.40
  4. Step 4: Simplify right side
    8,086.40x = 50,770,758.07
  5. Step 5: Solve for x
    x = 50,770,758.07/8,086.40
  6. Step 6: Final answer
    x = 6,278.54

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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.