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Finding the Fourth Proportional to 10,686.75, 16,033.23 and 4,445.61

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Solution

The fourth proportional to 10,686.75, 16,033.23 and 4,445.61 is: 6,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.75 : 16,033.23 = 4,445.61 : x
  2. Step 2: Convert to fraction form
    10,686.75/16,033.23 = 4,445.61/x
  3. Step 3: Cross multiply
    10,686.75x = 16,033.23 × 4,445.61
  4. Step 4: Simplify right side
    10,686.75x = 71,277,487.62
  5. Step 5: Solve for x
    x = 71,277,487.62/10,686.75
  6. Step 6: Final answer
    x = 6,669.71

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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.