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Finding the Fourth Proportional to 7,788.92, 11,623.76 and 6,957.86

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Solution

The fourth proportional to 7,788.92, 11,623.76 and 6,957.86 is: 10,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.92 : 11,623.76 = 6,957.86 : x
  2. Step 2: Convert to fraction form
    7,788.92/11,623.76 = 6,957.86/x
  3. Step 3: Cross multiply
    7,788.92x = 11,623.76 × 6,957.86
  4. Step 4: Simplify right side
    7,788.92x = 80,876,454.03
  5. Step 5: Solve for x
    x = 80,876,454.03/7,788.92
  6. Step 6: Final answer
    x = 10,383.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.