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Finding the Fourth Proportional to 6,824.64, 10,239.38 and 3,905.40

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Solution

The fourth proportional to 6,824.64, 10,239.38 and 3,905.40 is: 5,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.64 : 10,239.38 = 3,905.40 : x
  2. Step 2: Convert to fraction form
    6,824.64/10,239.38 = 3,905.40/x
  3. Step 3: Cross multiply
    6,824.64x = 10,239.38 × 3,905.40
  4. Step 4: Simplify right side
    6,824.64x = 39,988,874.65
  5. Step 5: Solve for x
    x = 39,988,874.65/6,824.64
  6. Step 6: Final answer
    x = 5,859.48

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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.