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Finding the Fourth Proportional to 8,310.80, 12,466.20 and 8,166.80

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Solution

The fourth proportional to 8,310.80, 12,466.20 and 8,166.80 is: 12,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.80 : 12,466.20 = 8,166.80 : x
  2. Step 2: Convert to fraction form
    8,310.80/12,466.20 = 8,166.80/x
  3. Step 3: Cross multiply
    8,310.80x = 12,466.20 × 8,166.80
  4. Step 4: Simplify right side
    8,310.80x = 101,808,962.16
  5. Step 5: Solve for x
    x = 101,808,962.16/8,310.80
  6. Step 6: Final answer
    x = 12,250.20

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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.