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Finding the Fourth Proportional to 8,171.60, 12,263.60 and 5,986

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Solution

The fourth proportional to 8,171.60, 12,263.60 and 5,986 is: 8,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.60 : 12,263.60 = 5,986 : x
  2. Step 2: Convert to fraction form
    8,171.60/12,263.60 = 5,986/x
  3. Step 3: Cross multiply
    8,171.60x = 12,263.60 × 5,986
  4. Step 4: Simplify right side
    8,171.60x = 73,409,909.60
  5. Step 5: Solve for x
    x = 73,409,909.60/8,171.60
  6. Step 6: Final answer
    x = 8,983.54

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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.