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Finding the Fourth Proportional to 8,613.74, 11,881.40 and 5,923.74

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Solution

The fourth proportional to 8,613.74, 11,881.40 and 5,923.74 is: 8,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.74 : 11,881.40 = 5,923.74 : x
  2. Step 2: Convert to fraction form
    8,613.74/11,881.40 = 5,923.74/x
  3. Step 3: Cross multiply
    8,613.74x = 11,881.40 × 5,923.74
  4. Step 4: Simplify right side
    8,613.74x = 70,382,324.44
  5. Step 5: Solve for x
    x = 70,382,324.44/8,613.74
  6. Step 6: Final answer
    x = 8,170.94

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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.