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Finding the Fourth Proportional to 7,757.24, 11,629.14 and 3,137.24

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Solution

The fourth proportional to 7,757.24, 11,629.14 and 3,137.24 is: 4,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.24 : 11,629.14 = 3,137.24 : x
  2. Step 2: Convert to fraction form
    7,757.24/11,629.14 = 3,137.24/x
  3. Step 3: Cross multiply
    7,757.24x = 11,629.14 × 3,137.24
  4. Step 4: Simplify right side
    7,757.24x = 36,483,403.17
  5. Step 5: Solve for x
    x = 36,483,403.17/7,757.24
  6. Step 6: Final answer
    x = 4,703.14

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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.