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Finding the Fourth Proportional to 7,796.16, 11,687.16 and 3,115.17

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Solution

The fourth proportional to 7,796.16, 11,687.16 and 3,115.17 is: 4,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.16 : 11,687.16 = 3,115.17 : x
  2. Step 2: Convert to fraction form
    7,796.16/11,687.16 = 3,115.17/x
  3. Step 3: Cross multiply
    7,796.16x = 11,687.16 × 3,115.17
  4. Step 4: Simplify right side
    7,796.16x = 36,407,490.22
  5. Step 5: Solve for x
    x = 36,407,490.22/7,796.16
  6. Step 6: Final answer
    x = 4,669.93

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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.