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Finding the Fourth Proportional to 8,143.20, 12,214.80 and 7,657.20

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Solution

The fourth proportional to 8,143.20, 12,214.80 and 7,657.20 is: 11,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.20 : 12,214.80 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    8,143.20/12,214.80 = 7,657.20/x
  3. Step 3: Cross multiply
    8,143.20x = 12,214.80 × 7,657.20
  4. Step 4: Simplify right side
    8,143.20x = 93,531,166.56
  5. Step 5: Solve for x
    x = 93,531,166.56/8,143.20
  6. Step 6: Final answer
    x = 11,485.80

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.