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Finding the Fourth Proportional to 8,121.13, 11,204.93 and 5,138.20

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Solution

The fourth proportional to 8,121.13, 11,204.93 and 5,138.20 is: 7,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.13 : 11,204.93 = 5,138.20 : x
  2. Step 2: Convert to fraction form
    8,121.13/11,204.93 = 5,138.20/x
  3. Step 3: Cross multiply
    8,121.13x = 11,204.93 × 5,138.20
  4. Step 4: Simplify right side
    8,121.13x = 57,573,198.18
  5. Step 5: Solve for x
    x = 57,573,198.18/8,121.13
  6. Step 6: Final answer
    x = 7,089.31

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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.