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Finding the Fourth Proportional to 7,331.74, 10,117.85 and 3,974.57

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Solution

The fourth proportional to 7,331.74, 10,117.85 and 3,974.57 is: 5,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.74 : 10,117.85 = 3,974.57 : x
  2. Step 2: Convert to fraction form
    7,331.74/10,117.85 = 3,974.57/x
  3. Step 3: Cross multiply
    7,331.74x = 10,117.85 × 3,974.57
  4. Step 4: Simplify right side
    7,331.74x = 40,214,103.07
  5. Step 5: Solve for x
    x = 40,214,103.07/7,331.74
  6. Step 6: Final answer
    x = 5,484.93

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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.