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Finding the Fourth Proportional to 12,002.62, 16,560.96 and 6,963.92

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Solution

The fourth proportional to 12,002.62, 16,560.96 and 6,963.92 is: 9,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.62 : 16,560.96 = 6,963.92 : x
  2. Step 2: Convert to fraction form
    12,002.62/16,560.96 = 6,963.92/x
  3. Step 3: Cross multiply
    12,002.62x = 16,560.96 × 6,963.92
  4. Step 4: Simplify right side
    12,002.62x = 115,329,200.56
  5. Step 5: Solve for x
    x = 115,329,200.56/12,002.62
  6. Step 6: Final answer
    x = 9,608.67

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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.