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Finding the Fourth Proportional to 8,390.20, 11,573.91 and 5,202.42

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Solution

The fourth proportional to 8,390.20, 11,573.91 and 5,202.42 is: 7,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.20 : 11,573.91 = 5,202.42 : x
  2. Step 2: Convert to fraction form
    8,390.20/11,573.91 = 5,202.42/x
  3. Step 3: Cross multiply
    8,390.20x = 11,573.91 × 5,202.42
  4. Step 4: Simplify right side
    8,390.20x = 60,212,296.00
  5. Step 5: Solve for x
    x = 60,212,296.00/8,390.20
  6. Step 6: Final answer
    x = 7,176.51

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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.