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Finding the Fourth Proportional to 7,267.92, 10,008 and 7,104.48

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Solution

The fourth proportional to 7,267.92, 10,008 and 7,104.48 is: 9,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.92 : 10,008 = 7,104.48 : x
  2. Step 2: Convert to fraction form
    7,267.92/10,008 = 7,104.48/x
  3. Step 3: Cross multiply
    7,267.92x = 10,008 × 7,104.48
  4. Step 4: Simplify right side
    7,267.92x = 71,101,635.84
  5. Step 5: Solve for x
    x = 71,101,635.84/7,267.92
  6. Step 6: Final answer
    x = 9,782.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.