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Finding the Fourth Proportional to 7,338.42, 11,007.72 and 2,144.40

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Solution

The fourth proportional to 7,338.42, 11,007.72 and 2,144.40 is: 3,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.42 : 11,007.72 = 2,144.40 : x
  2. Step 2: Convert to fraction form
    7,338.42/11,007.72 = 2,144.40/x
  3. Step 3: Cross multiply
    7,338.42x = 11,007.72 × 2,144.40
  4. Step 4: Simplify right side
    7,338.42x = 23,604,954.77
  5. Step 5: Solve for x
    x = 23,604,954.77/7,338.42
  6. Step 6: Final answer
    x = 3,216.63

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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.