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Finding the Fourth Proportional to 7,889.13, 11,833.65 and 3,208.23

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Solution

The fourth proportional to 7,889.13, 11,833.65 and 3,208.23 is: 4,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.13 : 11,833.65 = 3,208.23 : x
  2. Step 2: Convert to fraction form
    7,889.13/11,833.65 = 3,208.23/x
  3. Step 3: Cross multiply
    7,889.13x = 11,833.65 × 3,208.23
  4. Step 4: Simplify right side
    7,889.13x = 37,965,070.94
  5. Step 5: Solve for x
    x = 37,965,070.94/7,889.13
  6. Step 6: Final answer
    x = 4,812.33

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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.