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Finding the Fourth Proportional to 11,475.26, 15,834.93 and 6,438.78

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Solution

The fourth proportional to 11,475.26, 15,834.93 and 6,438.78 is: 8,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.26 : 15,834.93 = 6,438.78 : x
  2. Step 2: Convert to fraction form
    11,475.26/15,834.93 = 6,438.78/x
  3. Step 3: Cross multiply
    11,475.26x = 15,834.93 × 6,438.78
  4. Step 4: Simplify right side
    11,475.26x = 101,957,606.44
  5. Step 5: Solve for x
    x = 101,957,606.44/11,475.26
  6. Step 6: Final answer
    x = 8,884.99

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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.