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Finding the Fourth Proportional to 8,239.07, 11,375.16 and 5,411.47

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Solution

The fourth proportional to 8,239.07, 11,375.16 and 5,411.47 is: 7,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.07 : 11,375.16 = 5,411.47 : x
  2. Step 2: Convert to fraction form
    8,239.07/11,375.16 = 5,411.47/x
  3. Step 3: Cross multiply
    8,239.07x = 11,375.16 × 5,411.47
  4. Step 4: Simplify right side
    8,239.07x = 61,556,308.65
  5. Step 5: Solve for x
    x = 61,556,308.65/8,239.07
  6. Step 6: Final answer
    x = 7,471.27

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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.