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Finding the Fourth Proportional to 6,146.85, 8,474.06 and 5,198.83

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Solution

The fourth proportional to 6,146.85, 8,474.06 and 5,198.83 is: 7,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.85 : 8,474.06 = 5,198.83 : x
  2. Step 2: Convert to fraction form
    6,146.85/8,474.06 = 5,198.83/x
  3. Step 3: Cross multiply
    6,146.85x = 8,474.06 × 5,198.83
  4. Step 4: Simplify right side
    6,146.85x = 44,055,189.16
  5. Step 5: Solve for x
    x = 44,055,189.16/6,146.85
  6. Step 6: Final answer
    x = 7,167.11

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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.