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Finding the Fourth Proportional to 11,677.95, 16,116.51 and 6,643.71

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Solution

The fourth proportional to 11,677.95, 16,116.51 and 6,643.71 is: 9,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.95 : 16,116.51 = 6,643.71 : x
  2. Step 2: Convert to fraction form
    11,677.95/16,116.51 = 6,643.71/x
  3. Step 3: Cross multiply
    11,677.95x = 16,116.51 × 6,643.71
  4. Step 4: Simplify right side
    11,677.95x = 107,073,418.65
  5. Step 5: Solve for x
    x = 107,073,418.65/11,677.95
  6. Step 6: Final answer
    x = 9,168.85

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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.