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Finding the Fourth Proportional to 7,331.41, 10,117.24 and 3,974.16

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Solution

The fourth proportional to 7,331.41, 10,117.24 and 3,974.16 is: 5,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.41 : 10,117.24 = 3,974.16 : x
  2. Step 2: Convert to fraction form
    7,331.41/10,117.24 = 3,974.16/x
  3. Step 3: Cross multiply
    7,331.41x = 10,117.24 × 3,974.16
  4. Step 4: Simplify right side
    7,331.41x = 40,207,558.52
  5. Step 5: Solve for x
    x = 40,207,558.52/7,331.41
  6. Step 6: Final answer
    x = 5,484.29

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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.