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Finding the Fourth Proportional to 11,657.92, 16,083.32 and 7,680.96

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Solution

The fourth proportional to 11,657.92, 16,083.32 and 7,680.96 is: 10,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.92 : 16,083.32 = 7,680.96 : x
  2. Step 2: Convert to fraction form
    11,657.92/16,083.32 = 7,680.96/x
  3. Step 3: Cross multiply
    11,657.92x = 16,083.32 × 7,680.96
  4. Step 4: Simplify right side
    11,657.92x = 123,535,337.59
  5. Step 5: Solve for x
    x = 123,535,337.59/11,657.92
  6. Step 6: Final answer
    x = 10,596.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.