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Finding the Fourth Proportional to 8,200.90, 12,268.95 and 7,117.30

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Solution

The fourth proportional to 8,200.90, 12,268.95 and 7,117.30 is: 10,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.90 : 12,268.95 = 7,117.30 : x
  2. Step 2: Convert to fraction form
    8,200.90/12,268.95 = 7,117.30/x
  3. Step 3: Cross multiply
    8,200.90x = 12,268.95 × 7,117.30
  4. Step 4: Simplify right side
    8,200.90x = 87,321,797.84
  5. Step 5: Solve for x
    x = 87,321,797.84/8,200.90
  6. Step 6: Final answer
    x = 10,647.83

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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.