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Finding the Fourth Proportional to 7,912.35, 11,858.14 and 5,822.57

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Solution

The fourth proportional to 7,912.35, 11,858.14 and 5,822.57 is: 8,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.35 : 11,858.14 = 5,822.57 : x
  2. Step 2: Convert to fraction form
    7,912.35/11,858.14 = 5,822.57/x
  3. Step 3: Cross multiply
    7,912.35x = 11,858.14 × 5,822.57
  4. Step 4: Simplify right side
    7,912.35x = 69,044,850.22
  5. Step 5: Solve for x
    x = 69,044,850.22/7,912.35
  6. Step 6: Final answer
    x = 8,726.21

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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.