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Finding the Fourth Proportional to 10,884.49, 15,020.77 and 6,168.67

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Solution

The fourth proportional to 10,884.49, 15,020.77 and 6,168.67 is: 8,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.49 : 15,020.77 = 6,168.67 : x
  2. Step 2: Convert to fraction form
    10,884.49/15,020.77 = 6,168.67/x
  3. Step 3: Cross multiply
    10,884.49x = 15,020.77 × 6,168.67
  4. Step 4: Simplify right side
    10,884.49x = 92,658,098.17
  5. Step 5: Solve for x
    x = 92,658,098.17/10,884.49
  6. Step 6: Final answer
    x = 8,512.86

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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.