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Finding the Fourth Proportional to 8,480.41, 11,689.49 and 6,684.98

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Solution

The fourth proportional to 8,480.41, 11,689.49 and 6,684.98 is: 9,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.41 : 11,689.49 = 6,684.98 : x
  2. Step 2: Convert to fraction form
    8,480.41/11,689.49 = 6,684.98/x
  3. Step 3: Cross multiply
    8,480.41x = 11,689.49 × 6,684.98
  4. Step 4: Simplify right side
    8,480.41x = 78,143,965.13
  5. Step 5: Solve for x
    x = 78,143,965.13/8,480.41
  6. Step 6: Final answer
    x = 9,214.65

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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.