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Finding the Fourth Proportional to 7,750.67, 10,694.96 and 5,238.25

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Solution

The fourth proportional to 7,750.67, 10,694.96 and 5,238.25 is: 7,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.67 : 10,694.96 = 5,238.25 : x
  2. Step 2: Convert to fraction form
    7,750.67/10,694.96 = 5,238.25/x
  3. Step 3: Cross multiply
    7,750.67x = 10,694.96 × 5,238.25
  4. Step 4: Simplify right side
    7,750.67x = 56,022,794.55
  5. Step 5: Solve for x
    x = 56,022,794.55/7,750.67
  6. Step 6: Final answer
    x = 7,228.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.