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Finding the Fourth Proportional to 10,238.58, 15,354.61 and 3,997.08

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Solution

The fourth proportional to 10,238.58, 15,354.61 and 3,997.08 is: 5,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.58 : 15,354.61 = 3,997.08 : x
  2. Step 2: Convert to fraction form
    10,238.58/15,354.61 = 3,997.08/x
  3. Step 3: Cross multiply
    10,238.58x = 15,354.61 × 3,997.08
  4. Step 4: Simplify right side
    10,238.58x = 61,373,507.78
  5. Step 5: Solve for x
    x = 61,373,507.78/10,238.58
  6. Step 6: Final answer
    x = 5,994.34

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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.