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Finding the Fourth Proportional to 7,806.80, 10,777.10 and 4,824.38

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Solution

The fourth proportional to 7,806.80, 10,777.10 and 4,824.38 is: 6,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.80 : 10,777.10 = 4,824.38 : x
  2. Step 2: Convert to fraction form
    7,806.80/10,777.10 = 4,824.38/x
  3. Step 3: Cross multiply
    7,806.80x = 10,777.10 × 4,824.38
  4. Step 4: Simplify right side
    7,806.80x = 51,992,825.70
  5. Step 5: Solve for x
    x = 51,992,825.70/7,806.80
  6. Step 6: Final answer
    x = 6,659.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.