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Finding the Fourth Proportional to 8,923.25, 13,384.88 and 2,767.25

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Solution

The fourth proportional to 8,923.25, 13,384.88 and 2,767.25 is: 4,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.25 : 13,384.88 = 2,767.25 : x
  2. Step 2: Convert to fraction form
    8,923.25/13,384.88 = 2,767.25/x
  3. Step 3: Cross multiply
    8,923.25x = 13,384.88 × 2,767.25
  4. Step 4: Simplify right side
    8,923.25x = 37,039,309.18
  5. Step 5: Solve for x
    x = 37,039,309.18/8,923.25
  6. Step 6: Final answer
    x = 4,150.88

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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.