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Finding the Fourth Proportional to 7,391.92, 11,090.82 and 2,712.28

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Solution

The fourth proportional to 7,391.92, 11,090.82 and 2,712.28 is: 4,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.92 : 11,090.82 = 2,712.28 : x
  2. Step 2: Convert to fraction form
    7,391.92/11,090.82 = 2,712.28/x
  3. Step 3: Cross multiply
    7,391.92x = 11,090.82 × 2,712.28
  4. Step 4: Simplify right side
    7,391.92x = 30,081,409.27
  5. Step 5: Solve for x
    x = 30,081,409.27/7,391.92
  6. Step 6: Final answer
    x = 4,069.50

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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.