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Finding the Fourth Proportional to 7,361.70, 11,042.55 and 6,827.10

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Solution

The fourth proportional to 7,361.70, 11,042.55 and 6,827.10 is: 10,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.70 : 11,042.55 = 6,827.10 : x
  2. Step 2: Convert to fraction form
    7,361.70/11,042.55 = 6,827.10/x
  3. Step 3: Cross multiply
    7,361.70x = 11,042.55 × 6,827.10
  4. Step 4: Simplify right side
    7,361.70x = 75,388,593.11
  5. Step 5: Solve for x
    x = 75,388,593.11/7,361.70
  6. Step 6: Final answer
    x = 10,240.65

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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.