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Finding the Fourth Proportional to 8,352.80, 12,532.40 and 8,221.60

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Solution

The fourth proportional to 8,352.80, 12,532.40 and 8,221.60 is: 12,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.80 : 12,532.40 = 8,221.60 : x
  2. Step 2: Convert to fraction form
    8,352.80/12,532.40 = 8,221.60/x
  3. Step 3: Cross multiply
    8,352.80x = 12,532.40 × 8,221.60
  4. Step 4: Simplify right side
    8,352.80x = 103,036,379.84
  5. Step 5: Solve for x
    x = 103,036,379.84/8,352.80
  6. Step 6: Final answer
    x = 12,335.55

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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.