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Finding the Fourth Proportional to 6,906.93, 10,360.40 and 2,524.38

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Solution

The fourth proportional to 6,906.93, 10,360.40 and 2,524.38 is: 3,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.93 : 10,360.40 = 2,524.38 : x
  2. Step 2: Convert to fraction form
    6,906.93/10,360.40 = 2,524.38/x
  3. Step 3: Cross multiply
    6,906.93x = 10,360.40 × 2,524.38
  4. Step 4: Simplify right side
    6,906.93x = 26,153,573.93
  5. Step 5: Solve for x
    x = 26,153,573.93/6,906.93
  6. Step 6: Final answer
    x = 3,786.57

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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.