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Finding the Fourth Proportional to 7,773.62, 11,660.22 and 2,508.62

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Solution

The fourth proportional to 7,773.62, 11,660.22 and 2,508.62 is: 3,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.62 : 11,660.22 = 2,508.62 : x
  2. Step 2: Convert to fraction form
    7,773.62/11,660.22 = 2,508.62/x
  3. Step 3: Cross multiply
    7,773.62x = 11,660.22 × 2,508.62
  4. Step 4: Simplify right side
    7,773.62x = 29,251,061.10
  5. Step 5: Solve for x
    x = 29,251,061.10/7,773.62
  6. Step 6: Final answer
    x = 3,762.86

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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.