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Finding the Fourth Proportional to 6,675.35, 10,009.62 and 2,231.42

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Solution

The fourth proportional to 6,675.35, 10,009.62 and 2,231.42 is: 3,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.35 : 10,009.62 = 2,231.42 : x
  2. Step 2: Convert to fraction form
    6,675.35/10,009.62 = 2,231.42/x
  3. Step 3: Cross multiply
    6,675.35x = 10,009.62 × 2,231.42
  4. Step 4: Simplify right side
    6,675.35x = 22,335,616.21
  5. Step 5: Solve for x
    x = 22,335,616.21/6,675.35
  6. Step 6: Final answer
    x = 3,345.99

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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.