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Finding the Fourth Proportional to 10,197, 15,292.69 and 2,799.70

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Solution

The fourth proportional to 10,197, 15,292.69 and 2,799.70 is: 4,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197 : 15,292.69 = 2,799.70 : x
  2. Step 2: Convert to fraction form
    10,197/15,292.69 = 2,799.70/x
  3. Step 3: Cross multiply
    10,197x = 15,292.69 × 2,799.70
  4. Step 4: Simplify right side
    10,197x = 42,814,944.19
  5. Step 5: Solve for x
    x = 42,814,944.19/10,197
  6. Step 6: Final answer
    x = 4,198.78

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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.