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Finding the Fourth Proportional to 8,524.81, 12,722.41 and 7,960.83

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Solution

The fourth proportional to 8,524.81, 12,722.41 and 7,960.83 is: 11,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.81 : 12,722.41 = 7,960.83 : x
  2. Step 2: Convert to fraction form
    8,524.81/12,722.41 = 7,960.83/x
  3. Step 3: Cross multiply
    8,524.81x = 12,722.41 × 7,960.83
  4. Step 4: Simplify right side
    8,524.81x = 101,280,943.20
  5. Step 5: Solve for x
    x = 101,280,943.20/8,524.81
  6. Step 6: Final answer
    x = 11,880.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.