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Finding the Fourth Proportional to 7,571.62, 10,448.69 and 4,214.37

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Solution

The fourth proportional to 7,571.62, 10,448.69 and 4,214.37 is: 5,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.62 : 10,448.69 = 4,214.37 : x
  2. Step 2: Convert to fraction form
    7,571.62/10,448.69 = 4,214.37/x
  3. Step 3: Cross multiply
    7,571.62x = 10,448.69 × 4,214.37
  4. Step 4: Simplify right side
    7,571.62x = 44,034,645.68
  5. Step 5: Solve for x
    x = 44,034,645.68/7,571.62
  6. Step 6: Final answer
    x = 5,815.75

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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.