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Finding the Fourth Proportional to 7,279.14, 10,904.36 and 6,766.56

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Solution

The fourth proportional to 7,279.14, 10,904.36 and 6,766.56 is: 10,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.14 : 10,904.36 = 6,766.56 : x
  2. Step 2: Convert to fraction form
    7,279.14/10,904.36 = 6,766.56/x
  3. Step 3: Cross multiply
    7,279.14x = 10,904.36 × 6,766.56
  4. Step 4: Simplify right side
    7,279.14x = 73,785,031.58
  5. Step 5: Solve for x
    x = 73,785,031.58/7,279.14
  6. Step 6: Final answer
    x = 10,136.50

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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.