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Finding the Fourth Proportional to 10,694.88, 16,041.27 and 3,297.34

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Solution

The fourth proportional to 10,694.88, 16,041.27 and 3,297.34 is: 4,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.88 : 16,041.27 = 3,297.34 : x
  2. Step 2: Convert to fraction form
    10,694.88/16,041.27 = 3,297.34/x
  3. Step 3: Cross multiply
    10,694.88x = 16,041.27 × 3,297.34
  4. Step 4: Simplify right side
    10,694.88x = 52,893,521.22
  5. Step 5: Solve for x
    x = 52,893,521.22/10,694.88
  6. Step 6: Final answer
    x = 4,945.69

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