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Finding the Fourth Proportional to 7,571.26, 10,448.83 and 4,214.06

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Solution

The fourth proportional to 7,571.26, 10,448.83 and 4,214.06 is: 5,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.26 : 10,448.83 = 4,214.06 : x
  2. Step 2: Convert to fraction form
    7,571.26/10,448.83 = 4,214.06/x
  3. Step 3: Cross multiply
    7,571.26x = 10,448.83 × 4,214.06
  4. Step 4: Simplify right side
    7,571.26x = 44,031,996.55
  5. Step 5: Solve for x
    x = 44,031,996.55/7,571.26
  6. Step 6: Final answer
    x = 5,815.68

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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.