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Finding the Fourth Proportional to 6,165.38, 8,483.58 and 5,993.12

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Solution

The fourth proportional to 6,165.38, 8,483.58 and 5,993.12 is: 8,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.38 : 8,483.58 = 5,993.12 : x
  2. Step 2: Convert to fraction form
    6,165.38/8,483.58 = 5,993.12/x
  3. Step 3: Cross multiply
    6,165.38x = 8,483.58 × 5,993.12
  4. Step 4: Simplify right side
    6,165.38x = 50,843,112.97
  5. Step 5: Solve for x
    x = 50,843,112.97/6,165.38
  6. Step 6: Final answer
    x = 8,246.55

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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.