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Finding the Fourth Proportional to 7,837.80, 11,757.12 and 2,907.24

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Solution

The fourth proportional to 7,837.80, 11,757.12 and 2,907.24 is: 4,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.80 : 11,757.12 = 2,907.24 : x
  2. Step 2: Convert to fraction form
    7,837.80/11,757.12 = 2,907.24/x
  3. Step 3: Cross multiply
    7,837.80x = 11,757.12 × 2,907.24
  4. Step 4: Simplify right side
    7,837.80x = 34,180,769.55
  5. Step 5: Solve for x
    x = 34,180,769.55/7,837.80
  6. Step 6: Final answer
    x = 4,361.02

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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.