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Finding the Fourth Proportional to 11,154.26, 15,392.75 and 6,438.44

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Solution

The fourth proportional to 11,154.26, 15,392.75 and 6,438.44 is: 8,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.26 : 15,392.75 = 6,438.44 : x
  2. Step 2: Convert to fraction form
    11,154.26/15,392.75 = 6,438.44/x
  3. Step 3: Cross multiply
    11,154.26x = 15,392.75 × 6,438.44
  4. Step 4: Simplify right side
    11,154.26x = 99,105,188.15
  5. Step 5: Solve for x
    x = 99,105,188.15/11,154.26
  6. Step 6: Final answer
    x = 8,884.97

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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.