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Finding the Fourth Proportional to 10,674.18, 16,000.13 and 3,652.12

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Solution

The fourth proportional to 10,674.18, 16,000.13 and 3,652.12 is: 5,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.18 : 16,000.13 = 3,652.12 : x
  2. Step 2: Convert to fraction form
    10,674.18/16,000.13 = 3,652.12/x
  3. Step 3: Cross multiply
    10,674.18x = 16,000.13 × 3,652.12
  4. Step 4: Simplify right side
    10,674.18x = 58,434,367.04
  5. Step 5: Solve for x
    x = 58,434,367.04/10,674.18
  6. Step 6: Final answer
    x = 5,474.36

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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.