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Finding the Fourth Proportional to 6,805.30, 10,202.18 and 3,106.23

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Solution

The fourth proportional to 6,805.30, 10,202.18 and 3,106.23 is: 4,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.30 : 10,202.18 = 3,106.23 : x
  2. Step 2: Convert to fraction form
    6,805.30/10,202.18 = 3,106.23/x
  3. Step 3: Cross multiply
    6,805.30x = 10,202.18 × 3,106.23
  4. Step 4: Simplify right side
    6,805.30x = 31,690,302.05
  5. Step 5: Solve for x
    x = 31,690,302.05/6,805.30
  6. Step 6: Final answer
    x = 4,656.71

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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.