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Finding the Fourth Proportional to 10,790.64, 16,193.25 and 3,865.14

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Solution

The fourth proportional to 10,790.64, 16,193.25 and 3,865.14 is: 5,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.64 : 16,193.25 = 3,865.14 : x
  2. Step 2: Convert to fraction form
    10,790.64/16,193.25 = 3,865.14/x
  3. Step 3: Cross multiply
    10,790.64x = 16,193.25 × 3,865.14
  4. Step 4: Simplify right side
    10,790.64x = 62,589,178.31
  5. Step 5: Solve for x
    x = 62,589,178.31/10,790.64
  6. Step 6: Final answer
    x = 5,800.32

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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.