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Finding the Fourth Proportional to 8,564.92, 12,853.86 and 3,951.16

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Solution

The fourth proportional to 8,564.92, 12,853.86 and 3,951.16 is: 5,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.92 : 12,853.86 = 3,951.16 : x
  2. Step 2: Convert to fraction form
    8,564.92/12,853.86 = 3,951.16/x
  3. Step 3: Cross multiply
    8,564.92x = 12,853.86 × 3,951.16
  4. Step 4: Simplify right side
    8,564.92x = 50,787,657.48
  5. Step 5: Solve for x
    x = 50,787,657.48/8,564.92
  6. Step 6: Final answer
    x = 5,929.73

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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.