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Finding the Fourth Proportional to 7,040.50, 10,563.07 and 2,362.71

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Solution

The fourth proportional to 7,040.50, 10,563.07 and 2,362.71 is: 3,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.50 : 10,563.07 = 2,362.71 : x
  2. Step 2: Convert to fraction form
    7,040.50/10,563.07 = 2,362.71/x
  3. Step 3: Cross multiply
    7,040.50x = 10,563.07 × 2,362.71
  4. Step 4: Simplify right side
    7,040.50x = 24,957,471.12
  5. Step 5: Solve for x
    x = 24,957,471.12/7,040.50
  6. Step 6: Final answer
    x = 3,544.84

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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.