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Finding the Fourth Proportional to 7,796.79, 11,693.87 and 2,248.86

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Solution

The fourth proportional to 7,796.79, 11,693.87 and 2,248.86 is: 3,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.79 : 11,693.87 = 2,248.86 : x
  2. Step 2: Convert to fraction form
    7,796.79/11,693.87 = 2,248.86/x
  3. Step 3: Cross multiply
    7,796.79x = 11,693.87 × 2,248.86
  4. Step 4: Simplify right side
    7,796.79x = 26,297,917.53
  5. Step 5: Solve for x
    x = 26,297,917.53/7,796.79
  6. Step 6: Final answer
    x = 3,372.92

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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.