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Finding the Fourth Proportional to 7,832.90, 11,751.52 and 3,617.44

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Solution

The fourth proportional to 7,832.90, 11,751.52 and 3,617.44 is: 5,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.90 : 11,751.52 = 3,617.44 : x
  2. Step 2: Convert to fraction form
    7,832.90/11,751.52 = 3,617.44/x
  3. Step 3: Cross multiply
    7,832.90x = 11,751.52 × 3,617.44
  4. Step 4: Simplify right side
    7,832.90x = 42,510,359.75
  5. Step 5: Solve for x
    x = 42,510,359.75/7,832.90
  6. Step 6: Final answer
    x = 5,427.15

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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.