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Finding the Fourth Proportional to 7,967.64, 11,949.84 and 2,701.92

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Solution

The fourth proportional to 7,967.64, 11,949.84 and 2,701.92 is: 4,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.64 : 11,949.84 = 2,701.92 : x
  2. Step 2: Convert to fraction form
    7,967.64/11,949.84 = 2,701.92/x
  3. Step 3: Cross multiply
    7,967.64x = 11,949.84 × 2,701.92
  4. Step 4: Simplify right side
    7,967.64x = 32,287,511.69
  5. Step 5: Solve for x
    x = 32,287,511.69/7,967.64
  6. Step 6: Final answer
    x = 4,052.33

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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.