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Finding the Fourth Proportional to 10,982.64, 16,462.34 and 3,585.11

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Solution

The fourth proportional to 10,982.64, 16,462.34 and 3,585.11 is: 5,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.64 : 16,462.34 = 3,585.11 : x
  2. Step 2: Convert to fraction form
    10,982.64/16,462.34 = 3,585.11/x
  3. Step 3: Cross multiply
    10,982.64x = 16,462.34 × 3,585.11
  4. Step 4: Simplify right side
    10,982.64x = 59,019,305.56
  5. Step 5: Solve for x
    x = 59,019,305.56/10,982.64
  6. Step 6: Final answer
    x = 5,373.87

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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.