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Finding the Fourth Proportional to 7,338.40, 11,029.20 and 7,208.80

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Solution

The fourth proportional to 7,338.40, 11,029.20 and 7,208.80 is: 10,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.40 : 11,029.20 = 7,208.80 : x
  2. Step 2: Convert to fraction form
    7,338.40/11,029.20 = 7,208.80/x
  3. Step 3: Cross multiply
    7,338.40x = 11,029.20 × 7,208.80
  4. Step 4: Simplify right side
    7,338.40x = 79,507,296.96
  5. Step 5: Solve for x
    x = 79,507,296.96/7,338.40
  6. Step 6: Final answer
    x = 10,834.42

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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.