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Finding the Fourth Proportional to 11,029.33, 15,221.87 and 6,838.21

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Solution

The fourth proportional to 11,029.33, 15,221.87 and 6,838.21 is: 9,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.33 : 15,221.87 = 6,838.21 : x
  2. Step 2: Convert to fraction form
    11,029.33/15,221.87 = 6,838.21/x
  3. Step 3: Cross multiply
    11,029.33x = 15,221.87 × 6,838.21
  4. Step 4: Simplify right side
    11,029.33x = 104,090,343.65
  5. Step 5: Solve for x
    x = 104,090,343.65/11,029.33
  6. Step 6: Final answer
    x = 9,437.59

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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.