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Finding the Fourth Proportional to 7,864.70, 11,796.65 and 2,933.95

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Solution

The fourth proportional to 7,864.70, 11,796.65 and 2,933.95 is: 4,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.70 : 11,796.65 = 2,933.95 : x
  2. Step 2: Convert to fraction form
    7,864.70/11,796.65 = 2,933.95/x
  3. Step 3: Cross multiply
    7,864.70x = 11,796.65 × 2,933.95
  4. Step 4: Simplify right side
    7,864.70x = 34,610,781.27
  5. Step 5: Solve for x
    x = 34,610,781.27/7,864.70
  6. Step 6: Final answer
    x = 4,400.78

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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.