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Finding the Fourth Proportional to 7,324.62, 10,108.59 and 4,138.50

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Solution

The fourth proportional to 7,324.62, 10,108.59 and 4,138.50 is: 5,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.62 : 10,108.59 = 4,138.50 : x
  2. Step 2: Convert to fraction form
    7,324.62/10,108.59 = 4,138.50/x
  3. Step 3: Cross multiply
    7,324.62x = 10,108.59 × 4,138.50
  4. Step 4: Simplify right side
    7,324.62x = 41,834,399.72
  5. Step 5: Solve for x
    x = 41,834,399.72/7,324.62
  6. Step 6: Final answer
    x = 5,711.48

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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.