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Finding the Fourth Proportional to 8,865.60, 13,291.77 and 3,867

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Solution

The fourth proportional to 8,865.60, 13,291.77 and 3,867 is: 5,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.60 : 13,291.77 = 3,867 : x
  2. Step 2: Convert to fraction form
    8,865.60/13,291.77 = 3,867/x
  3. Step 3: Cross multiply
    8,865.60x = 13,291.77 × 3,867
  4. Step 4: Simplify right side
    8,865.60x = 51,399,274.59
  5. Step 5: Solve for x
    x = 51,399,274.59/8,865.60
  6. Step 6: Final answer
    x = 5,797.61

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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.