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Finding the Fourth Proportional to 26,965.87, 40,446.07 and 7,241.86

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Solution

The fourth proportional to 26,965.87, 40,446.07 and 7,241.86 is: 10,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.87 : 40,446.07 = 7,241.86 : x
  2. Step 2: Convert to fraction form
    26,965.87/40,446.07 = 7,241.86/x
  3. Step 3: Cross multiply
    26,965.87x = 40,446.07 × 7,241.86
  4. Step 4: Simplify right side
    26,965.87x = 292,904,808.94
  5. Step 5: Solve for x
    x = 292,904,808.94/26,965.87
  6. Step 6: Final answer
    x = 10,862.06

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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.