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Finding the Fourth Proportional to 10,934, 16,401.06 and 2,726

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Solution

The fourth proportional to 10,934, 16,401.06 and 2,726 is: 4,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934 : 16,401.06 = 2,726 : x
  2. Step 2: Convert to fraction form
    10,934/16,401.06 = 2,726/x
  3. Step 3: Cross multiply
    10,934x = 16,401.06 × 2,726
  4. Step 4: Simplify right side
    10,934x = 44,709,289.56
  5. Step 5: Solve for x
    x = 44,709,289.56/10,934
  6. Step 6: Final answer
    x = 4,089.01

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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.