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Finding the Fourth Proportional to 10,187.64, 15,278.22 and 3,947.22

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Solution

The fourth proportional to 10,187.64, 15,278.22 and 3,947.22 is: 5,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.64 : 15,278.22 = 3,947.22 : x
  2. Step 2: Convert to fraction form
    10,187.64/15,278.22 = 3,947.22/x
  3. Step 3: Cross multiply
    10,187.64x = 15,278.22 × 3,947.22
  4. Step 4: Simplify right side
    10,187.64x = 60,306,495.55
  5. Step 5: Solve for x
    x = 60,306,495.55/10,187.64
  6. Step 6: Final answer
    x = 5,919.57

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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.