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Finding the Fourth Proportional to 10,744.10, 14,826.62 and 5,963.76

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Solution

The fourth proportional to 10,744.10, 14,826.62 and 5,963.76 is: 8,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.10 : 14,826.62 = 5,963.76 : x
  2. Step 2: Convert to fraction form
    10,744.10/14,826.62 = 5,963.76/x
  3. Step 3: Cross multiply
    10,744.10x = 14,826.62 × 5,963.76
  4. Step 4: Simplify right side
    10,744.10x = 88,422,403.29
  5. Step 5: Solve for x
    x = 88,422,403.29/10,744.10
  6. Step 6: Final answer
    x = 8,229.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.