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Finding the Fourth Proportional to 10,761.64, 16,143.69 and 2,864.49

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Solution

The fourth proportional to 10,761.64, 16,143.69 and 2,864.49 is: 4,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.64 : 16,143.69 = 2,864.49 : x
  2. Step 2: Convert to fraction form
    10,761.64/16,143.69 = 2,864.49/x
  3. Step 3: Cross multiply
    10,761.64x = 16,143.69 × 2,864.49
  4. Step 4: Simplify right side
    10,761.64x = 46,243,438.57
  5. Step 5: Solve for x
    x = 46,243,438.57/10,761.64
  6. Step 6: Final answer
    x = 4,297.06

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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.