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Finding the Fourth Proportional to 6,910.17, 10,358.11 and 3,209.38

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Solution

The fourth proportional to 6,910.17, 10,358.11 and 3,209.38 is: 4,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.17 : 10,358.11 = 3,209.38 : x
  2. Step 2: Convert to fraction form
    6,910.17/10,358.11 = 3,209.38/x
  3. Step 3: Cross multiply
    6,910.17x = 10,358.11 × 3,209.38
  4. Step 4: Simplify right side
    6,910.17x = 33,243,077.15
  5. Step 5: Solve for x
    x = 33,243,077.15/6,910.17
  6. Step 6: Final answer
    x = 4,810.75

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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.