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Finding the Fourth Proportional to 10,683.43, 16,024.97 and 4,111.04

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Solution

The fourth proportional to 10,683.43, 16,024.97 and 4,111.04 is: 6,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.43 : 16,024.97 = 4,111.04 : x
  2. Step 2: Convert to fraction form
    10,683.43/16,024.97 = 4,111.04/x
  3. Step 3: Cross multiply
    10,683.43x = 16,024.97 × 4,111.04
  4. Step 4: Simplify right side
    10,683.43x = 65,879,292.67
  5. Step 5: Solve for x
    x = 65,879,292.67/10,683.43
  6. Step 6: Final answer
    x = 6,166.49

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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.