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Finding the Fourth Proportional to 7,773.42, 11,659.81 and 3,093.24

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Solution

The fourth proportional to 7,773.42, 11,659.81 and 3,093.24 is: 4,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.42 : 11,659.81 = 3,093.24 : x
  2. Step 2: Convert to fraction form
    7,773.42/11,659.81 = 3,093.24/x
  3. Step 3: Cross multiply
    7,773.42x = 11,659.81 × 3,093.24
  4. Step 4: Simplify right side
    7,773.42x = 36,066,590.68
  5. Step 5: Solve for x
    x = 36,066,590.68/7,773.42
  6. Step 6: Final answer
    x = 4,639.73

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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.