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Finding the Fourth Proportional to 8,206.40, 12,309.60 and 7,731.20

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Solution

The fourth proportional to 8,206.40, 12,309.60 and 7,731.20 is: 11,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.40 : 12,309.60 = 7,731.20 : x
  2. Step 2: Convert to fraction form
    8,206.40/12,309.60 = 7,731.20/x
  3. Step 3: Cross multiply
    8,206.40x = 12,309.60 × 7,731.20
  4. Step 4: Simplify right side
    8,206.40x = 95,167,979.52
  5. Step 5: Solve for x
    x = 95,167,979.52/8,206.40
  6. Step 6: Final answer
    x = 11,596.80

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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.