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Finding the Fourth Proportional to 7,766.72, 10,721.16 and 5,410.16

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Solution

The fourth proportional to 7,766.72, 10,721.16 and 5,410.16 is: 7,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.72 : 10,721.16 = 5,410.16 : x
  2. Step 2: Convert to fraction form
    7,766.72/10,721.16 = 5,410.16/x
  3. Step 3: Cross multiply
    7,766.72x = 10,721.16 × 5,410.16
  4. Step 4: Simplify right side
    7,766.72x = 58,003,190.99
  5. Step 5: Solve for x
    x = 58,003,190.99/7,766.72
  6. Step 6: Final answer
    x = 7,468.17

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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.