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Finding the Fourth Proportional to 7,401.92, 10,214.96 and 4,258.11

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Solution

The fourth proportional to 7,401.92, 10,214.96 and 4,258.11 is: 5,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.92 : 10,214.96 = 4,258.11 : x
  2. Step 2: Convert to fraction form
    7,401.92/10,214.96 = 4,258.11/x
  3. Step 3: Cross multiply
    7,401.92x = 10,214.96 × 4,258.11
  4. Step 4: Simplify right side
    7,401.92x = 43,496,423.33
  5. Step 5: Solve for x
    x = 43,496,423.33/7,401.92
  6. Step 6: Final answer
    x = 5,876.37

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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.