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Finding the Fourth Proportional to 6,940.67, 10,415.61 and 3,243.18

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Solution

The fourth proportional to 6,940.67, 10,415.61 and 3,243.18 is: 4,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.67 : 10,415.61 = 3,243.18 : x
  2. Step 2: Convert to fraction form
    6,940.67/10,415.61 = 3,243.18/x
  3. Step 3: Cross multiply
    6,940.67x = 10,415.61 × 3,243.18
  4. Step 4: Simplify right side
    6,940.67x = 33,779,737.10
  5. Step 5: Solve for x
    x = 33,779,737.10/6,940.67
  6. Step 6: Final answer
    x = 4,866.93

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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.