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Finding the Fourth Proportional to 10,638.09, 15,960.41 and 5,447.61

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Solution

The fourth proportional to 10,638.09, 15,960.41 and 5,447.61 is: 8,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.09 : 15,960.41 = 5,447.61 : x
  2. Step 2: Convert to fraction form
    10,638.09/15,960.41 = 5,447.61/x
  3. Step 3: Cross multiply
    10,638.09x = 15,960.41 × 5,447.61
  4. Step 4: Simplify right side
    10,638.09x = 86,946,061.88
  5. Step 5: Solve for x
    x = 86,946,061.88/10,638.09
  6. Step 6: Final answer
    x = 8,173.09

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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.