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Finding the Fourth Proportional to 6,019.11, 8,341.38 and 5,902.47

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Solution

The fourth proportional to 6,019.11, 8,341.38 and 5,902.47 is: 8,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.11 : 8,341.38 = 5,902.47 : x
  2. Step 2: Convert to fraction form
    6,019.11/8,341.38 = 5,902.47/x
  3. Step 3: Cross multiply
    6,019.11x = 8,341.38 × 5,902.47
  4. Step 4: Simplify right side
    6,019.11x = 49,234,745.21
  5. Step 5: Solve for x
    x = 49,234,745.21/6,019.11
  6. Step 6: Final answer
    x = 8,179.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.