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Finding the Fourth Proportional to 10,575.50, 15,862.64 and 3,179.82

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Solution

The fourth proportional to 10,575.50, 15,862.64 and 3,179.82 is: 4,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.50 : 15,862.64 = 3,179.82 : x
  2. Step 2: Convert to fraction form
    10,575.50/15,862.64 = 3,179.82/x
  3. Step 3: Cross multiply
    10,575.50x = 15,862.64 × 3,179.82
  4. Step 4: Simplify right side
    10,575.50x = 50,440,339.92
  5. Step 5: Solve for x
    x = 50,440,339.92/10,575.50
  6. Step 6: Final answer
    x = 4,769.55

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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.