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Finding the Fourth Proportional to 7,773.38, 11,660.10 and 2,579.25

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Solution

The fourth proportional to 7,773.38, 11,660.10 and 2,579.25 is: 3,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.38 : 11,660.10 = 2,579.25 : x
  2. Step 2: Convert to fraction form
    7,773.38/11,660.10 = 2,579.25/x
  3. Step 3: Cross multiply
    7,773.38x = 11,660.10 × 2,579.25
  4. Step 4: Simplify right side
    7,773.38x = 30,074,312.93
  5. Step 5: Solve for x
    x = 30,074,312.93/7,773.38
  6. Step 6: Final answer
    x = 3,868.89

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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.