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Finding the Fourth Proportional to 10,205.58, 15,278.85 and 5,976.03

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Solution

The fourth proportional to 10,205.58, 15,278.85 and 5,976.03 is: 8,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.58 : 15,278.85 = 5,976.03 : x
  2. Step 2: Convert to fraction form
    10,205.58/15,278.85 = 5,976.03/x
  3. Step 3: Cross multiply
    10,205.58x = 15,278.85 × 5,976.03
  4. Step 4: Simplify right side
    10,205.58x = 91,306,865.97
  5. Step 5: Solve for x
    x = 91,306,865.97/10,205.58
  6. Step 6: Final answer
    x = 8,946.76

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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.