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Finding the Fourth Proportional to 8,531.93, 12,797.46 and 3,269.46

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Solution

The fourth proportional to 8,531.93, 12,797.46 and 3,269.46 is: 4,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.93 : 12,797.46 = 3,269.46 : x
  2. Step 2: Convert to fraction form
    8,531.93/12,797.46 = 3,269.46/x
  3. Step 3: Cross multiply
    8,531.93x = 12,797.46 × 3,269.46
  4. Step 4: Simplify right side
    8,531.93x = 41,840,831.56
  5. Step 5: Solve for x
    x = 41,840,831.56/8,531.93
  6. Step 6: Final answer
    x = 4,904.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.