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Finding the Fourth Proportional to 6,166.18, 8,507.32 and 3,773.66

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Solution

The fourth proportional to 6,166.18, 8,507.32 and 3,773.66 is: 5,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.18 : 8,507.32 = 3,773.66 : x
  2. Step 2: Convert to fraction form
    6,166.18/8,507.32 = 3,773.66/x
  3. Step 3: Cross multiply
    6,166.18x = 8,507.32 × 3,773.66
  4. Step 4: Simplify right side
    6,166.18x = 32,103,745.03
  5. Step 5: Solve for x
    x = 32,103,745.03/6,166.18
  6. Step 6: Final answer
    x = 5,206.42

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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.