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Finding the Fourth Proportional to 7,707.92, 11,563.34 and 3,091.28

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Solution

The fourth proportional to 7,707.92, 11,563.34 and 3,091.28 is: 4,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.92 : 11,563.34 = 3,091.28 : x
  2. Step 2: Convert to fraction form
    7,707.92/11,563.34 = 3,091.28/x
  3. Step 3: Cross multiply
    7,707.92x = 11,563.34 × 3,091.28
  4. Step 4: Simplify right side
    7,707.92x = 35,745,521.68
  5. Step 5: Solve for x
    x = 35,745,521.68/7,707.92
  6. Step 6: Final answer
    x = 4,637.51

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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.