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Finding the Fourth Proportional to 6,868.46, 10,302.42 and 3,169.46

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Solution

The fourth proportional to 6,868.46, 10,302.42 and 3,169.46 is: 4,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.46 : 10,302.42 = 3,169.46 : x
  2. Step 2: Convert to fraction form
    6,868.46/10,302.42 = 3,169.46/x
  3. Step 3: Cross multiply
    6,868.46x = 10,302.42 × 3,169.46
  4. Step 4: Simplify right side
    6,868.46x = 32,653,108.09
  5. Step 5: Solve for x
    x = 32,653,108.09/6,868.46
  6. Step 6: Final answer
    x = 4,754.07

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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.