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Finding the Fourth Proportional to 10,251.85, 15,376.87 and 2,855.83

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Solution

The fourth proportional to 10,251.85, 15,376.87 and 2,855.83 is: 4,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.85 : 15,376.87 = 2,855.83 : x
  2. Step 2: Convert to fraction form
    10,251.85/15,376.87 = 2,855.83/x
  3. Step 3: Cross multiply
    10,251.85x = 15,376.87 × 2,855.83
  4. Step 4: Simplify right side
    10,251.85x = 43,913,726.65
  5. Step 5: Solve for x
    x = 43,913,726.65/10,251.85
  6. Step 6: Final answer
    x = 4,283.49

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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.