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Finding the Fourth Proportional to 7,571.31, 10,448.81 and 4,214.44

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Solution

The fourth proportional to 7,571.31, 10,448.81 and 4,214.44 is: 5,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.31 : 10,448.81 = 4,214.44 : x
  2. Step 2: Convert to fraction form
    7,571.31/10,448.81 = 4,214.44/x
  3. Step 3: Cross multiply
    7,571.31x = 10,448.81 × 4,214.44
  4. Step 4: Simplify right side
    7,571.31x = 44,035,882.82
  5. Step 5: Solve for x
    x = 44,035,882.82/7,571.31
  6. Step 6: Final answer
    x = 5,816.15

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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.