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Finding the Fourth Proportional to 10,205.78, 15,309.24 and 3,186.76

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Solution

The fourth proportional to 10,205.78, 15,309.24 and 3,186.76 is: 4,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.78 : 15,309.24 = 3,186.76 : x
  2. Step 2: Convert to fraction form
    10,205.78/15,309.24 = 3,186.76/x
  3. Step 3: Cross multiply
    10,205.78x = 15,309.24 × 3,186.76
  4. Step 4: Simplify right side
    10,205.78x = 48,786,857.73
  5. Step 5: Solve for x
    x = 48,786,857.73/10,205.78
  6. Step 6: Final answer
    x = 4,780.32

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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.