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Finding the Fourth Proportional to 10,138.03, 15,212.07 and 6,843.89

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Solution

The fourth proportional to 10,138.03, 15,212.07 and 6,843.89 is: 10,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.03 : 15,212.07 = 6,843.89 : x
  2. Step 2: Convert to fraction form
    10,138.03/15,212.07 = 6,843.89/x
  3. Step 3: Cross multiply
    10,138.03x = 15,212.07 × 6,843.89
  4. Step 4: Simplify right side
    10,138.03x = 104,109,771.78
  5. Step 5: Solve for x
    x = 104,109,771.78/10,138.03
  6. Step 6: Final answer
    x = 10,269.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.