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Finding the Fourth Proportional to 8,150.47, 11,240.71 and 5,494.39

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Solution

The fourth proportional to 8,150.47, 11,240.71 and 5,494.39 is: 7,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.47 : 11,240.71 = 5,494.39 : x
  2. Step 2: Convert to fraction form
    8,150.47/11,240.71 = 5,494.39/x
  3. Step 3: Cross multiply
    8,150.47x = 11,240.71 × 5,494.39
  4. Step 4: Simplify right side
    8,150.47x = 61,760,844.62
  5. Step 5: Solve for x
    x = 61,760,844.62/8,150.47
  6. Step 6: Final answer
    x = 7,577.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.