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Finding the Fourth Proportional to 10,212.80, 15,286.80 and 7,296.80

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Solution

The fourth proportional to 10,212.80, 15,286.80 and 7,296.80 is: 10,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.80 : 15,286.80 = 7,296.80 : x
  2. Step 2: Convert to fraction form
    10,212.80/15,286.80 = 7,296.80/x
  3. Step 3: Cross multiply
    10,212.80x = 15,286.80 × 7,296.80
  4. Step 4: Simplify right side
    10,212.80x = 111,544,722.24
  5. Step 5: Solve for x
    x = 111,544,722.24/10,212.80
  6. Step 6: Final answer
    x = 10,922.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.