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Finding the Fourth Proportional to 7,919.68, 11,878.50 and 2,076.76

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Solution

The fourth proportional to 7,919.68, 11,878.50 and 2,076.76 is: 3,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.68 : 11,878.50 = 2,076.76 : x
  2. Step 2: Convert to fraction form
    7,919.68/11,878.50 = 2,076.76/x
  3. Step 3: Cross multiply
    7,919.68x = 11,878.50 × 2,076.76
  4. Step 4: Simplify right side
    7,919.68x = 24,668,793.66
  5. Step 5: Solve for x
    x = 24,668,793.66/7,919.68
  6. Step 6: Final answer
    x = 3,114.87

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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.