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Finding the Fourth Proportional to 7,659.50, 11,487.80 and 2,729.12

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Solution

The fourth proportional to 7,659.50, 11,487.80 and 2,729.12 is: 4,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.50 : 11,487.80 = 2,729.12 : x
  2. Step 2: Convert to fraction form
    7,659.50/11,487.80 = 2,729.12/x
  3. Step 3: Cross multiply
    7,659.50x = 11,487.80 × 2,729.12
  4. Step 4: Simplify right side
    7,659.50x = 31,351,584.74
  5. Step 5: Solve for x
    x = 31,351,584.74/7,659.50
  6. Step 6: Final answer
    x = 4,093.16

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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.