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Finding the Fourth Proportional to 7,402.05, 10,213.83 and 4,214.97

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Solution

The fourth proportional to 7,402.05, 10,213.83 and 4,214.97 is: 5,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.05 : 10,213.83 = 4,214.97 : x
  2. Step 2: Convert to fraction form
    7,402.05/10,213.83 = 4,214.97/x
  3. Step 3: Cross multiply
    7,402.05x = 10,213.83 × 4,214.97
  4. Step 4: Simplify right side
    7,402.05x = 43,050,987.04
  5. Step 5: Solve for x
    x = 43,050,987.04/7,402.05
  6. Step 6: Final answer
    x = 5,816.09

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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.