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Finding the Fourth Proportional to 10,873.75, 16,282.70 and 7,537.24

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Solution

The fourth proportional to 10,873.75, 16,282.70 and 7,537.24 is: 11,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.75 : 16,282.70 = 7,537.24 : x
  2. Step 2: Convert to fraction form
    10,873.75/16,282.70 = 7,537.24/x
  3. Step 3: Cross multiply
    10,873.75x = 16,282.70 × 7,537.24
  4. Step 4: Simplify right side
    10,873.75x = 122,726,579.49
  5. Step 5: Solve for x
    x = 122,726,579.49/10,873.75
  6. Step 6: Final answer
    x = 11,286.50

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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.