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Finding the Fourth Proportional to 7,860.79, 11,793.18 and 2,314.32

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Solution

The fourth proportional to 7,860.79, 11,793.18 and 2,314.32 is: 3,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.79 : 11,793.18 = 2,314.32 : x
  2. Step 2: Convert to fraction form
    7,860.79/11,793.18 = 2,314.32/x
  3. Step 3: Cross multiply
    7,860.79x = 11,793.18 × 2,314.32
  4. Step 4: Simplify right side
    7,860.79x = 27,293,121.80
  5. Step 5: Solve for x
    x = 27,293,121.80/7,860.79
  6. Step 6: Final answer
    x = 3,472.06

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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.