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Finding the Fourth Proportional to 8,684.39, 11,968.38 and 6,166.61

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Solution

The fourth proportional to 8,684.39, 11,968.38 and 6,166.61 is: 8,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.39 : 11,968.38 = 6,166.61 : x
  2. Step 2: Convert to fraction form
    8,684.39/11,968.38 = 6,166.61/x
  3. Step 3: Cross multiply
    8,684.39x = 11,968.38 × 6,166.61
  4. Step 4: Simplify right side
    8,684.39x = 73,804,331.79
  5. Step 5: Solve for x
    x = 73,804,331.79/8,684.39
  6. Step 6: Final answer
    x = 8,498.50

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Why These Related Problems?

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