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Finding the Fourth Proportional to 10,689.75, 16,035.23 and 4,450.32

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Solution

The fourth proportional to 10,689.75, 16,035.23 and 4,450.32 is: 6,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.75 : 16,035.23 = 4,450.32 : x
  2. Step 2: Convert to fraction form
    10,689.75/16,035.23 = 4,450.32/x
  3. Step 3: Cross multiply
    10,689.75x = 16,035.23 × 4,450.32
  4. Step 4: Simplify right side
    10,689.75x = 71,361,915.90
  5. Step 5: Solve for x
    x = 71,361,915.90/10,689.75
  6. Step 6: Final answer
    x = 6,675.73

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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.