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Finding the Fourth Proportional to 10,694.19, 14,755.62 and 6,713.85

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Solution

The fourth proportional to 10,694.19, 14,755.62 and 6,713.85 is: 9,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.19 : 14,755.62 = 6,713.85 : x
  2. Step 2: Convert to fraction form
    10,694.19/14,755.62 = 6,713.85/x
  3. Step 3: Cross multiply
    10,694.19x = 14,755.62 × 6,713.85
  4. Step 4: Simplify right side
    10,694.19x = 99,067,062.08
  5. Step 5: Solve for x
    x = 99,067,062.08/10,694.19
  6. Step 6: Final answer
    x = 9,263.63

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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.