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Finding the Fourth Proportional to 6,169.74, 8,514.14 and 3,516.80

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Solution

The fourth proportional to 6,169.74, 8,514.14 and 3,516.80 is: 4,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.74 : 8,514.14 = 3,516.80 : x
  2. Step 2: Convert to fraction form
    6,169.74/8,514.14 = 3,516.80/x
  3. Step 3: Cross multiply
    6,169.74x = 8,514.14 × 3,516.80
  4. Step 4: Simplify right side
    6,169.74x = 29,942,527.55
  5. Step 5: Solve for x
    x = 29,942,527.55/6,169.74
  6. Step 6: Final answer
    x = 4,853.13

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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.