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Finding the Fourth Proportional to 10,251.09, 15,377.05 and 2,856.20

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Solution

The fourth proportional to 10,251.09, 15,377.05 and 2,856.20 is: 4,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.09 : 15,377.05 = 2,856.20 : x
  2. Step 2: Convert to fraction form
    10,251.09/15,377.05 = 2,856.20/x
  3. Step 3: Cross multiply
    10,251.09x = 15,377.05 × 2,856.20
  4. Step 4: Simplify right side
    10,251.09x = 43,919,839.04
  5. Step 5: Solve for x
    x = 43,919,839.04/10,251.09
  6. Step 6: Final answer
    x = 4,284.41

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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.