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Finding the Fourth Proportional to 8,586.80, 12,880.20 and 5,306.30

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Solution

The fourth proportional to 8,586.80, 12,880.20 and 5,306.30 is: 7,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.80 : 12,880.20 = 5,306.30 : x
  2. Step 2: Convert to fraction form
    8,586.80/12,880.20 = 5,306.30/x
  3. Step 3: Cross multiply
    8,586.80x = 12,880.20 × 5,306.30
  4. Step 4: Simplify right side
    8,586.80x = 68,346,205.26
  5. Step 5: Solve for x
    x = 68,346,205.26/8,586.80
  6. Step 6: Final answer
    x = 7,959.45

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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.