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Finding the Fourth Proportional to 7,173.92, 10,762 and 2,242.56

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Solution

The fourth proportional to 7,173.92, 10,762 and 2,242.56 is: 3,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.92 : 10,762 = 2,242.56 : x
  2. Step 2: Convert to fraction form
    7,173.92/10,762 = 2,242.56/x
  3. Step 3: Cross multiply
    7,173.92x = 10,762 × 2,242.56
  4. Step 4: Simplify right side
    7,173.92x = 24,134,430.72
  5. Step 5: Solve for x
    x = 24,134,430.72/7,173.92
  6. Step 6: Final answer
    x = 3,364.19

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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.