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Finding the Fourth Proportional to 7,808.72, 11,713.14 and 2,615

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Solution

The fourth proportional to 7,808.72, 11,713.14 and 2,615 is: 3,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.72 : 11,713.14 = 2,615 : x
  2. Step 2: Convert to fraction form
    7,808.72/11,713.14 = 2,615/x
  3. Step 3: Cross multiply
    7,808.72x = 11,713.14 × 2,615
  4. Step 4: Simplify right side
    7,808.72x = 30,629,861.10
  5. Step 5: Solve for x
    x = 30,629,861.10/7,808.72
  6. Step 6: Final answer
    x = 3,922.52

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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.