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Finding the Fourth Proportional to 8,767.98, 13,150.53 and 3,836.70

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Solution

The fourth proportional to 8,767.98, 13,150.53 and 3,836.70 is: 5,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.98 : 13,150.53 = 3,836.70 : x
  2. Step 2: Convert to fraction form
    8,767.98/13,150.53 = 3,836.70/x
  3. Step 3: Cross multiply
    8,767.98x = 13,150.53 × 3,836.70
  4. Step 4: Simplify right side
    8,767.98x = 50,454,638.45
  5. Step 5: Solve for x
    x = 50,454,638.45/8,767.98
  6. Step 6: Final answer
    x = 5,754.42

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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.