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Finding the Fourth Proportional to 11,153.92, 15,392.41 and 6,438.20

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Solution

The fourth proportional to 11,153.92, 15,392.41 and 6,438.20 is: 8,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.92 : 15,392.41 = 6,438.20 : x
  2. Step 2: Convert to fraction form
    11,153.92/15,392.41 = 6,438.20/x
  3. Step 3: Cross multiply
    11,153.92x = 15,392.41 × 6,438.20
  4. Step 4: Simplify right side
    11,153.92x = 99,099,387.12
  5. Step 5: Solve for x
    x = 99,099,387.12/11,153.92
  6. Step 6: Final answer
    x = 8,884.72

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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.