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Finding the Fourth Proportional to 8,117.28, 12,168.61 and 2,919.50

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Solution

The fourth proportional to 8,117.28, 12,168.61 and 2,919.50 is: 4,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.28 : 12,168.61 = 2,919.50 : x
  2. Step 2: Convert to fraction form
    8,117.28/12,168.61 = 2,919.50/x
  3. Step 3: Cross multiply
    8,117.28x = 12,168.61 × 2,919.50
  4. Step 4: Simplify right side
    8,117.28x = 35,526,256.90
  5. Step 5: Solve for x
    x = 35,526,256.90/8,117.28
  6. Step 6: Final answer
    x = 4,376.62

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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.