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Finding the Fourth Proportional to 8,296.29, 11,450.55 and 5,111.16

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Solution

The fourth proportional to 8,296.29, 11,450.55 and 5,111.16 is: 7,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.29 : 11,450.55 = 5,111.16 : x
  2. Step 2: Convert to fraction form
    8,296.29/11,450.55 = 5,111.16/x
  3. Step 3: Cross multiply
    8,296.29x = 11,450.55 × 5,111.16
  4. Step 4: Simplify right side
    8,296.29x = 58,525,593.14
  5. Step 5: Solve for x
    x = 58,525,593.14/8,296.29
  6. Step 6: Final answer
    x = 7,054.43

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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.