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Finding the Fourth Proportional to 10,052.41, 13,872.11 and 6,223.03

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Solution

The fourth proportional to 10,052.41, 13,872.11 and 6,223.03 is: 8,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.41 : 13,872.11 = 6,223.03 : x
  2. Step 2: Convert to fraction form
    10,052.41/13,872.11 = 6,223.03/x
  3. Step 3: Cross multiply
    10,052.41x = 13,872.11 × 6,223.03
  4. Step 4: Simplify right side
    10,052.41x = 86,326,556.69
  5. Step 5: Solve for x
    x = 86,326,556.69/10,052.41
  6. Step 6: Final answer
    x = 8,587.65

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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.