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Finding the Fourth Proportional to 6,952.41, 10,430.19 and 3,992.22

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Solution

The fourth proportional to 6,952.41, 10,430.19 and 3,992.22 is: 5,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.41 : 10,430.19 = 3,992.22 : x
  2. Step 2: Convert to fraction form
    6,952.41/10,430.19 = 3,992.22/x
  3. Step 3: Cross multiply
    6,952.41x = 10,430.19 × 3,992.22
  4. Step 4: Simplify right side
    6,952.41x = 41,639,613.12
  5. Step 5: Solve for x
    x = 41,639,613.12/6,952.41
  6. Step 6: Final answer
    x = 5,989.23

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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.