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Finding the Fourth Proportional to 6,938.98, 10,407.79 and 3,817.96

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Solution

The fourth proportional to 6,938.98, 10,407.79 and 3,817.96 is: 5,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.98 : 10,407.79 = 3,817.96 : x
  2. Step 2: Convert to fraction form
    6,938.98/10,407.79 = 3,817.96/x
  3. Step 3: Cross multiply
    6,938.98x = 10,407.79 × 3,817.96
  4. Step 4: Simplify right side
    6,938.98x = 39,736,525.91
  5. Step 5: Solve for x
    x = 39,736,525.91/6,938.98
  6. Step 6: Final answer
    x = 5,726.57

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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.