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Finding the Fourth Proportional to 7,767.60, 11,651.40 and 2,502.60

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Solution

The fourth proportional to 7,767.60, 11,651.40 and 2,502.60 is: 3,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.60 : 11,651.40 = 2,502.60 : x
  2. Step 2: Convert to fraction form
    7,767.60/11,651.40 = 2,502.60/x
  3. Step 3: Cross multiply
    7,767.60x = 11,651.40 × 2,502.60
  4. Step 4: Simplify right side
    7,767.60x = 29,158,793.64
  5. Step 5: Solve for x
    x = 29,158,793.64/7,767.60
  6. Step 6: Final answer
    x = 3,753.90

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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.