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Finding the Fourth Proportional to 10,525.76, 15,789.12 and 3,949.76

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Solution

The fourth proportional to 10,525.76, 15,789.12 and 3,949.76 is: 5,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.76 : 15,789.12 = 3,949.76 : x
  2. Step 2: Convert to fraction form
    10,525.76/15,789.12 = 3,949.76/x
  3. Step 3: Cross multiply
    10,525.76x = 15,789.12 × 3,949.76
  4. Step 4: Simplify right side
    10,525.76x = 62,363,234.61
  5. Step 5: Solve for x
    x = 62,363,234.61/10,525.76
  6. Step 6: Final answer
    x = 5,924.82

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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.