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Finding the Fourth Proportional to 8,272.50, 12,416.96 and 6,730.68

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Solution

The fourth proportional to 8,272.50, 12,416.96 and 6,730.68 is: 10,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 12,416.96 = 6,730.68 : x
  2. Step 2: Convert to fraction form
    8,272.50/12,416.96 = 6,730.68/x
  3. Step 3: Cross multiply
    8,272.50x = 12,416.96 × 6,730.68
  4. Step 4: Simplify right side
    8,272.50x = 83,574,584.33
  5. Step 5: Solve for x
    x = 83,574,584.33/8,272.50
  6. Step 6: Final answer
    x = 10,102.70

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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.