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Finding the Fourth Proportional to 8,193.39, 11,270.35 and 7,180.08

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Solution

The fourth proportional to 8,193.39, 11,270.35 and 7,180.08 is: 9,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.39 : 11,270.35 = 7,180.08 : x
  2. Step 2: Convert to fraction form
    8,193.39/11,270.35 = 7,180.08/x
  3. Step 3: Cross multiply
    8,193.39x = 11,270.35 × 7,180.08
  4. Step 4: Simplify right side
    8,193.39x = 80,922,014.63
  5. Step 5: Solve for x
    x = 80,922,014.63/8,193.39
  6. Step 6: Final answer
    x = 9,876.50

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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.