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Finding the Fourth Proportional to 7,399.94, 10,212.48 and 4,214.27

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Solution

The fourth proportional to 7,399.94, 10,212.48 and 4,214.27 is: 5,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.94 : 10,212.48 = 4,214.27 : x
  2. Step 2: Convert to fraction form
    7,399.94/10,212.48 = 4,214.27/x
  3. Step 3: Cross multiply
    7,399.94x = 10,212.48 × 4,214.27
  4. Step 4: Simplify right side
    7,399.94x = 43,038,086.49
  5. Step 5: Solve for x
    x = 43,038,086.49/7,399.94
  6. Step 6: Final answer
    x = 5,816.01

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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.