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Finding the Fourth Proportional to 7,462.43, 10,298.22 and 4,105.27

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Solution

The fourth proportional to 7,462.43, 10,298.22 and 4,105.27 is: 5,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.43 : 10,298.22 = 4,105.27 : x
  2. Step 2: Convert to fraction form
    7,462.43/10,298.22 = 4,105.27/x
  3. Step 3: Cross multiply
    7,462.43x = 10,298.22 × 4,105.27
  4. Step 4: Simplify right side
    7,462.43x = 42,276,973.62
  5. Step 5: Solve for x
    x = 42,276,973.62/7,462.43
  6. Step 6: Final answer
    x = 5,665.31

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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.