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Finding the Fourth Proportional to 7,401.43, 10,202.11 and 5,010.65

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Solution

The fourth proportional to 7,401.43, 10,202.11 and 5,010.65 is: 6,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.43 : 10,202.11 = 5,010.65 : x
  2. Step 2: Convert to fraction form
    7,401.43/10,202.11 = 5,010.65/x
  3. Step 3: Cross multiply
    7,401.43x = 10,202.11 × 5,010.65
  4. Step 4: Simplify right side
    7,401.43x = 51,119,202.47
  5. Step 5: Solve for x
    x = 51,119,202.47/7,401.43
  6. Step 6: Final answer
    x = 6,906.67

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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.