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Finding the Fourth Proportional to 7,401.88, 10,214.70 and 4,214.80

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Solution

The fourth proportional to 7,401.88, 10,214.70 and 4,214.80 is: 5,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.88 : 10,214.70 = 4,214.80 : x
  2. Step 2: Convert to fraction form
    7,401.88/10,214.70 = 4,214.80/x
  3. Step 3: Cross multiply
    7,401.88x = 10,214.70 × 4,214.80
  4. Step 4: Simplify right side
    7,401.88x = 43,052,917.56
  5. Step 5: Solve for x
    x = 43,052,917.56/7,401.88
  6. Step 6: Final answer
    x = 5,816.48

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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.