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Finding the Fourth Proportional to 11,149.92, 16,718.16 and 7,683.36

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Solution

The fourth proportional to 11,149.92, 16,718.16 and 7,683.36 is: 11,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.92 : 16,718.16 = 7,683.36 : x
  2. Step 2: Convert to fraction form
    11,149.92/16,718.16 = 7,683.36/x
  3. Step 3: Cross multiply
    11,149.92x = 16,718.16 × 7,683.36
  4. Step 4: Simplify right side
    11,149.92x = 128,451,641.82
  5. Step 5: Solve for x
    x = 128,451,641.82/11,149.92
  6. Step 6: Final answer
    x = 11,520.41

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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.