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Finding the Fourth Proportional to 6,965.67, 10,444.19 and 3,266.31

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Solution

The fourth proportional to 6,965.67, 10,444.19 and 3,266.31 is: 4,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.67 : 10,444.19 = 3,266.31 : x
  2. Step 2: Convert to fraction form
    6,965.67/10,444.19 = 3,266.31/x
  3. Step 3: Cross multiply
    6,965.67x = 10,444.19 × 3,266.31
  4. Step 4: Simplify right side
    6,965.67x = 34,113,945.91
  5. Step 5: Solve for x
    x = 34,113,945.91/6,965.67
  6. Step 6: Final answer
    x = 4,897.44

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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.