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Finding the Fourth Proportional to 10,765.32, 16,138.20 and 3,838.20

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Solution

The fourth proportional to 10,765.32, 16,138.20 and 3,838.20 is: 5,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.32 : 16,138.20 = 3,838.20 : x
  2. Step 2: Convert to fraction form
    10,765.32/16,138.20 = 3,838.20/x
  3. Step 3: Cross multiply
    10,765.32x = 16,138.20 × 3,838.20
  4. Step 4: Simplify right side
    10,765.32x = 61,941,639.24
  5. Step 5: Solve for x
    x = 61,941,639.24/10,765.32
  6. Step 6: Final answer
    x = 5,753.81

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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.