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Finding the Fourth Proportional to 10,800.10, 16,204.86 and 3,785.17

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Solution

The fourth proportional to 10,800.10, 16,204.86 and 3,785.17 is: 5,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.10 : 16,204.86 = 3,785.17 : x
  2. Step 2: Convert to fraction form
    10,800.10/16,204.86 = 3,785.17/x
  3. Step 3: Cross multiply
    10,800.10x = 16,204.86 × 3,785.17
  4. Step 4: Simplify right side
    10,800.10x = 61,338,049.98
  5. Step 5: Solve for x
    x = 61,338,049.98/10,800.10
  6. Step 6: Final answer
    x = 5,679.40

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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.