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Finding the Fourth Proportional to 8,045.40, 12,096.90 and 6,778.20

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Solution

The fourth proportional to 8,045.40, 12,096.90 and 6,778.20 is: 10,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.40 : 12,096.90 = 6,778.20 : x
  2. Step 2: Convert to fraction form
    8,045.40/12,096.90 = 6,778.20/x
  3. Step 3: Cross multiply
    8,045.40x = 12,096.90 × 6,778.20
  4. Step 4: Simplify right side
    8,045.40x = 81,995,207.58
  5. Step 5: Solve for x
    x = 81,995,207.58/8,045.40
  6. Step 6: Final answer
    x = 10,191.56

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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.