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Finding the Fourth Proportional to 10,635.14, 15,952.71 and 2,843.75

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Solution

The fourth proportional to 10,635.14, 15,952.71 and 2,843.75 is: 4,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.14 : 15,952.71 = 2,843.75 : x
  2. Step 2: Convert to fraction form
    10,635.14/15,952.71 = 2,843.75/x
  3. Step 3: Cross multiply
    10,635.14x = 15,952.71 × 2,843.75
  4. Step 4: Simplify right side
    10,635.14x = 45,365,519.06
  5. Step 5: Solve for x
    x = 45,365,519.06/10,635.14
  6. Step 6: Final answer
    x = 4,265.63

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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.