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Finding the Fourth Proportional to 6,906.74, 10,365.58 and 3,013.88

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Solution

The fourth proportional to 6,906.74, 10,365.58 and 3,013.88 is: 4,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.74 : 10,365.58 = 3,013.88 : x
  2. Step 2: Convert to fraction form
    6,906.74/10,365.58 = 3,013.88/x
  3. Step 3: Cross multiply
    6,906.74x = 10,365.58 × 3,013.88
  4. Step 4: Simplify right side
    6,906.74x = 31,240,614.25
  5. Step 5: Solve for x
    x = 31,240,614.25/6,906.74
  6. Step 6: Final answer
    x = 4,523.21

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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.