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Finding the Fourth Proportional to 7,399, 11,103.36 and 2,782

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Solution

The fourth proportional to 7,399, 11,103.36 and 2,782 is: 4,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399 : 11,103.36 = 2,782 : x
  2. Step 2: Convert to fraction form
    7,399/11,103.36 = 2,782/x
  3. Step 3: Cross multiply
    7,399x = 11,103.36 × 2,782
  4. Step 4: Simplify right side
    7,399x = 30,889,547.52
  5. Step 5: Solve for x
    x = 30,889,547.52/7,399
  6. Step 6: Final answer
    x = 4,174.83

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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.