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Finding the Fourth Proportional to 8,326.36, 11,499.83 and 5,669.16

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Solution

The fourth proportional to 8,326.36, 11,499.83 and 5,669.16 is: 7,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.36 : 11,499.83 = 5,669.16 : x
  2. Step 2: Convert to fraction form
    8,326.36/11,499.83 = 5,669.16/x
  3. Step 3: Cross multiply
    8,326.36x = 11,499.83 × 5,669.16
  4. Step 4: Simplify right side
    8,326.36x = 65,194,376.24
  5. Step 5: Solve for x
    x = 65,194,376.24/8,326.36
  6. Step 6: Final answer
    x = 7,829.88

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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.