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Finding the Fourth Proportional to 8,097.48, 11,161.08 and 6,415.92

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Solution

The fourth proportional to 8,097.48, 11,161.08 and 6,415.92 is: 8,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.48 : 11,161.08 = 6,415.92 : x
  2. Step 2: Convert to fraction form
    8,097.48/11,161.08 = 6,415.92/x
  3. Step 3: Cross multiply
    8,097.48x = 11,161.08 × 6,415.92
  4. Step 4: Simplify right side
    8,097.48x = 71,608,596.39
  5. Step 5: Solve for x
    x = 71,608,596.39/8,097.48
  6. Step 6: Final answer
    x = 8,843.32

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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.