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Finding the Fourth Proportional to 8,096.80, 12,145.20 and 5,178.40

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Solution

The fourth proportional to 8,096.80, 12,145.20 and 5,178.40 is: 7,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.80 : 12,145.20 = 5,178.40 : x
  2. Step 2: Convert to fraction form
    8,096.80/12,145.20 = 5,178.40/x
  3. Step 3: Cross multiply
    8,096.80x = 12,145.20 × 5,178.40
  4. Step 4: Simplify right side
    8,096.80x = 62,892,703.68
  5. Step 5: Solve for x
    x = 62,892,703.68/8,096.80
  6. Step 6: Final answer
    x = 7,767.60

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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.