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Finding the Fourth Proportional to 13,100.96, 18,072.44 and 7,792

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Solution

The fourth proportional to 13,100.96, 18,072.44 and 7,792 is: 10,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.96 : 18,072.44 = 7,792 : x
  2. Step 2: Convert to fraction form
    13,100.96/18,072.44 = 7,792/x
  3. Step 3: Cross multiply
    13,100.96x = 18,072.44 × 7,792
  4. Step 4: Simplify right side
    13,100.96x = 140,820,452.48
  5. Step 5: Solve for x
    x = 140,820,452.48/13,100.96
  6. Step 6: Final answer
    x = 10,748.87

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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.