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Finding the Fourth Proportional to 10,165.44, 15,249.42 and 3,590.31

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Solution

The fourth proportional to 10,165.44, 15,249.42 and 3,590.31 is: 5,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.44 : 15,249.42 = 3,590.31 : x
  2. Step 2: Convert to fraction form
    10,165.44/15,249.42 = 3,590.31/x
  3. Step 3: Cross multiply
    10,165.44x = 15,249.42 × 3,590.31
  4. Step 4: Simplify right side
    10,165.44x = 54,750,145.12
  5. Step 5: Solve for x
    x = 54,750,145.12/10,165.44
  6. Step 6: Final answer
    x = 5,385.91

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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.