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Finding the Fourth Proportional to 6,938.90, 10,411.90 and 3,821.36

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Solution

The fourth proportional to 6,938.90, 10,411.90 and 3,821.36 is: 5,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.90 : 10,411.90 = 3,821.36 : x
  2. Step 2: Convert to fraction form
    6,938.90/10,411.90 = 3,821.36/x
  3. Step 3: Cross multiply
    6,938.90x = 10,411.90 × 3,821.36
  4. Step 4: Simplify right side
    6,938.90x = 39,787,618.18
  5. Step 5: Solve for x
    x = 39,787,618.18/6,938.90
  6. Step 6: Final answer
    x = 5,734.00

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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.