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Finding the Fourth Proportional to 8,833.28, 13,251.74 and 3,837.80

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Solution

The fourth proportional to 8,833.28, 13,251.74 and 3,837.80 is: 5,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.28 : 13,251.74 = 3,837.80 : x
  2. Step 2: Convert to fraction form
    8,833.28/13,251.74 = 3,837.80/x
  3. Step 3: Cross multiply
    8,833.28x = 13,251.74 × 3,837.80
  4. Step 4: Simplify right side
    8,833.28x = 50,857,541.71
  5. Step 5: Solve for x
    x = 50,857,541.71/8,833.28
  6. Step 6: Final answer
    x = 5,757.50

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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.