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Finding the Fourth Proportional to 7,216.52, 10,832.07 and 5,138.87

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Solution

The fourth proportional to 7,216.52, 10,832.07 and 5,138.87 is: 7,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.52 : 10,832.07 = 5,138.87 : x
  2. Step 2: Convert to fraction form
    7,216.52/10,832.07 = 5,138.87/x
  3. Step 3: Cross multiply
    7,216.52x = 10,832.07 × 5,138.87
  4. Step 4: Simplify right side
    7,216.52x = 55,664,545.40
  5. Step 5: Solve for x
    x = 55,664,545.40/7,216.52
  6. Step 6: Final answer
    x = 7,713.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.