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Finding the Fourth Proportional to 6,180.25, 8,525.78 and 5,941.55

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Solution

The fourth proportional to 6,180.25, 8,525.78 and 5,941.55 is: 8,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.25 : 8,525.78 = 5,941.55 : x
  2. Step 2: Convert to fraction form
    6,180.25/8,525.78 = 5,941.55/x
  3. Step 3: Cross multiply
    6,180.25x = 8,525.78 × 5,941.55
  4. Step 4: Simplify right side
    6,180.25x = 50,656,305.53
  5. Step 5: Solve for x
    x = 50,656,305.53/6,180.25
  6. Step 6: Final answer
    x = 8,196.48

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