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Finding the Fourth Proportional to 6,770.25, 10,146.15 and 3,810.11

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Solution

The fourth proportional to 6,770.25, 10,146.15 and 3,810.11 is: 5,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.25 : 10,146.15 = 3,810.11 : x
  2. Step 2: Convert to fraction form
    6,770.25/10,146.15 = 3,810.11/x
  3. Step 3: Cross multiply
    6,770.25x = 10,146.15 × 3,810.11
  4. Step 4: Simplify right side
    6,770.25x = 38,657,896.85
  5. Step 5: Solve for x
    x = 38,657,896.85/6,770.25
  6. Step 6: Final answer
    x = 5,709.97

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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.