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Finding the Fourth Proportional to 8,684.67, 13,027 and 2,110.81

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Solution

The fourth proportional to 8,684.67, 13,027 and 2,110.81 is: 3,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.67 : 13,027 = 2,110.81 : x
  2. Step 2: Convert to fraction form
    8,684.67/13,027 = 2,110.81/x
  3. Step 3: Cross multiply
    8,684.67x = 13,027 × 2,110.81
  4. Step 4: Simplify right side
    8,684.67x = 27,497,521.87
  5. Step 5: Solve for x
    x = 27,497,521.87/8,684.67
  6. Step 6: Final answer
    x = 3,166.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.