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Finding the Fourth Proportional to 10,575.84, 15,865.20 and 3,179.52

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Solution

The fourth proportional to 10,575.84, 15,865.20 and 3,179.52 is: 4,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.84 : 15,865.20 = 3,179.52 : x
  2. Step 2: Convert to fraction form
    10,575.84/15,865.20 = 3,179.52/x
  3. Step 3: Cross multiply
    10,575.84x = 15,865.20 × 3,179.52
  4. Step 4: Simplify right side
    10,575.84x = 50,443,720.70
  5. Step 5: Solve for x
    x = 50,443,720.70/10,575.84
  6. Step 6: Final answer
    x = 4,769.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.