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Finding the Fourth Proportional to 8,861.40, 13,287.87 and 5,164.70

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Solution

The fourth proportional to 8,861.40, 13,287.87 and 5,164.70 is: 7,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.40 : 13,287.87 = 5,164.70 : x
  2. Step 2: Convert to fraction form
    8,861.40/13,287.87 = 5,164.70/x
  3. Step 3: Cross multiply
    8,861.40x = 13,287.87 × 5,164.70
  4. Step 4: Simplify right side
    8,861.40x = 68,627,795.75
  5. Step 5: Solve for x
    x = 68,627,795.75/8,861.40
  6. Step 6: Final answer
    x = 7,744.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.