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Finding the Fourth Proportional to 7,832.66, 11,745.33 and 2,902.19

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Solution

The fourth proportional to 7,832.66, 11,745.33 and 2,902.19 is: 4,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.66 : 11,745.33 = 2,902.19 : x
  2. Step 2: Convert to fraction form
    7,832.66/11,745.33 = 2,902.19/x
  3. Step 3: Cross multiply
    7,832.66x = 11,745.33 × 2,902.19
  4. Step 4: Simplify right side
    7,832.66x = 34,087,120.55
  5. Step 5: Solve for x
    x = 34,087,120.55/7,832.66
  6. Step 6: Final answer
    x = 4,351.92

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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.