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Finding the Fourth Proportional to 10,634.95, 15,952.42 and 2,843.56

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Solution

The fourth proportional to 10,634.95, 15,952.42 and 2,843.56 is: 4,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.95 : 15,952.42 = 2,843.56 : x
  2. Step 2: Convert to fraction form
    10,634.95/15,952.42 = 2,843.56/x
  3. Step 3: Cross multiply
    10,634.95x = 15,952.42 × 2,843.56
  4. Step 4: Simplify right side
    10,634.95x = 45,361,586.51
  5. Step 5: Solve for x
    x = 45,361,586.51/10,634.95
  6. Step 6: Final answer
    x = 4,265.33

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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.