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Finding the Fourth Proportional to 10,198.26, 15,256.49 and 8,826.53

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Solution

The fourth proportional to 10,198.26, 15,256.49 and 8,826.53 is: 13,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.26 : 15,256.49 = 8,826.53 : x
  2. Step 2: Convert to fraction form
    10,198.26/15,256.49 = 8,826.53/x
  3. Step 3: Cross multiply
    10,198.26x = 15,256.49 × 8,826.53
  4. Step 4: Simplify right side
    10,198.26x = 134,661,746.26
  5. Step 5: Solve for x
    x = 134,661,746.26/10,198.26
  6. Step 6: Final answer
    x = 13,204.38

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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.