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Finding the Fourth Proportional to 10,351.78, 14,272.14 and 7,523.26

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Solution

The fourth proportional to 10,351.78, 14,272.14 and 7,523.26 is: 10,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.78 : 14,272.14 = 7,523.26 : x
  2. Step 2: Convert to fraction form
    10,351.78/14,272.14 = 7,523.26/x
  3. Step 3: Cross multiply
    10,351.78x = 14,272.14 × 7,523.26
  4. Step 4: Simplify right side
    10,351.78x = 107,373,019.98
  5. Step 5: Solve for x
    x = 107,373,019.98/10,351.78
  6. Step 6: Final answer
    x = 10,372.42

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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.