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Finding the Fourth Proportional to 10,865.84, 16,299.39 and 3,074

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Solution

The fourth proportional to 10,865.84, 16,299.39 and 3,074 is: 4,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.84 : 16,299.39 = 3,074 : x
  2. Step 2: Convert to fraction form
    10,865.84/16,299.39 = 3,074/x
  3. Step 3: Cross multiply
    10,865.84x = 16,299.39 × 3,074
  4. Step 4: Simplify right side
    10,865.84x = 50,104,324.86
  5. Step 5: Solve for x
    x = 50,104,324.86/10,865.84
  6. Step 6: Final answer
    x = 4,611.18

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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.