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Finding the Fourth Proportional to 8,711.28, 12,020.40 and 5,173.20

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Solution

The fourth proportional to 8,711.28, 12,020.40 and 5,173.20 is: 7,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.28 : 12,020.40 = 5,173.20 : x
  2. Step 2: Convert to fraction form
    8,711.28/12,020.40 = 5,173.20/x
  3. Step 3: Cross multiply
    8,711.28x = 12,020.40 × 5,173.20
  4. Step 4: Simplify right side
    8,711.28x = 62,183,933.28
  5. Step 5: Solve for x
    x = 62,183,933.28/8,711.28
  6. Step 6: Final answer
    x = 7,138.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.