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Finding the Fourth Proportional to 7,757.57, 10,693.00 and 5,238.87

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Solution

The fourth proportional to 7,757.57, 10,693.00 and 5,238.87 is: 7,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.57 : 10,693.00 = 5,238.87 : x
  2. Step 2: Convert to fraction form
    7,757.57/10,693.00 = 5,238.87/x
  3. Step 3: Cross multiply
    7,757.57x = 10,693.00 × 5,238.87
  4. Step 4: Simplify right side
    7,757.57x = 56,019,210.72
  5. Step 5: Solve for x
    x = 56,019,210.72/7,757.57
  6. Step 6: Final answer
    x = 7,221.24

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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.