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Finding the Fourth Proportional to 8,114.34, 12,169.08 and 2,919

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Solution

The fourth proportional to 8,114.34, 12,169.08 and 2,919 is: 4,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.34 : 12,169.08 = 2,919 : x
  2. Step 2: Convert to fraction form
    8,114.34/12,169.08 = 2,919/x
  3. Step 3: Cross multiply
    8,114.34x = 12,169.08 × 2,919
  4. Step 4: Simplify right side
    8,114.34x = 35,521,544.52
  5. Step 5: Solve for x
    x = 35,521,544.52/8,114.34
  6. Step 6: Final answer
    x = 4,377.63

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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.