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Finding the Fourth Proportional to 7,656.75, 11,487.15 and 2,462.76

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Solution

The fourth proportional to 7,656.75, 11,487.15 and 2,462.76 is: 3,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.75 : 11,487.15 = 2,462.76 : x
  2. Step 2: Convert to fraction form
    7,656.75/11,487.15 = 2,462.76/x
  3. Step 3: Cross multiply
    7,656.75x = 11,487.15 × 2,462.76
  4. Step 4: Simplify right side
    7,656.75x = 28,290,093.53
  5. Step 5: Solve for x
    x = 28,290,093.53/7,656.75
  6. Step 6: Final answer
    x = 3,694.79

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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.