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Finding the Fourth Proportional to 8,506.80, 12,770.60 and 5,386.80

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Solution

The fourth proportional to 8,506.80, 12,770.60 and 5,386.80 is: 8,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.80 : 12,770.60 = 5,386.80 : x
  2. Step 2: Convert to fraction form
    8,506.80/12,770.60 = 5,386.80/x
  3. Step 3: Cross multiply
    8,506.80x = 12,770.60 × 5,386.80
  4. Step 4: Simplify right side
    8,506.80x = 68,792,668.08
  5. Step 5: Solve for x
    x = 68,792,668.08/8,506.80
  6. Step 6: Final answer
    x = 8,086.79

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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.