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Finding the Fourth Proportional to 6,378.08, 8,799.84 and 5,047.66

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Solution

The fourth proportional to 6,378.08, 8,799.84 and 5,047.66 is: 6,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.08 : 8,799.84 = 5,047.66 : x
  2. Step 2: Convert to fraction form
    6,378.08/8,799.84 = 5,047.66/x
  3. Step 3: Cross multiply
    6,378.08x = 8,799.84 × 5,047.66
  4. Step 4: Simplify right side
    6,378.08x = 44,418,556.38
  5. Step 5: Solve for x
    x = 44,418,556.38/6,378.08
  6. Step 6: Final answer
    x = 6,964.25

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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.