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Finding the Fourth Proportional to 7,796.16, 11,687.26 and 3,410.14

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Solution

The fourth proportional to 7,796.16, 11,687.26 and 3,410.14 is: 5,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.16 : 11,687.26 = 3,410.14 : x
  2. Step 2: Convert to fraction form
    7,796.16/11,687.26 = 3,410.14/x
  3. Step 3: Cross multiply
    7,796.16x = 11,687.26 × 3,410.14
  4. Step 4: Simplify right side
    7,796.16x = 39,855,192.82
  5. Step 5: Solve for x
    x = 39,855,192.82/7,796.16
  6. Step 6: Final answer
    x = 5,112.16

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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.