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Finding the Fourth Proportional to 8,540.90, 11,786.42 and 5,003.40

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Solution

The fourth proportional to 8,540.90, 11,786.42 and 5,003.40 is: 6,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.90 : 11,786.42 = 5,003.40 : x
  2. Step 2: Convert to fraction form
    8,540.90/11,786.42 = 5,003.40/x
  3. Step 3: Cross multiply
    8,540.90x = 11,786.42 × 5,003.40
  4. Step 4: Simplify right side
    8,540.90x = 58,972,173.83
  5. Step 5: Solve for x
    x = 58,972,173.83/8,540.90
  6. Step 6: Final answer
    x = 6,904.68

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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.