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Finding the Fourth Proportional to 7,293.76, 10,939.02 and 2,362.12

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Solution

The fourth proportional to 7,293.76, 10,939.02 and 2,362.12 is: 3,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.76 : 10,939.02 = 2,362.12 : x
  2. Step 2: Convert to fraction form
    7,293.76/10,939.02 = 2,362.12/x
  3. Step 3: Cross multiply
    7,293.76x = 10,939.02 × 2,362.12
  4. Step 4: Simplify right side
    7,293.76x = 25,839,277.92
  5. Step 5: Solve for x
    x = 25,839,277.92/7,293.76
  6. Step 6: Final answer
    x = 3,542.66

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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.