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Finding the Fourth Proportional to 7,404, 10,217.64 and 4,092

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Solution

The fourth proportional to 7,404, 10,217.64 and 4,092 is: 5,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404 : 10,217.64 = 4,092 : x
  2. Step 2: Convert to fraction form
    7,404/10,217.64 = 4,092/x
  3. Step 3: Cross multiply
    7,404x = 10,217.64 × 4,092
  4. Step 4: Simplify right side
    7,404x = 41,810,582.88
  5. Step 5: Solve for x
    x = 41,810,582.88/7,404
  6. Step 6: Final answer
    x = 5,647.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.