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Finding the Fourth Proportional to 8,571.09, 11,828.26 and 5,214.05

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Solution

The fourth proportional to 8,571.09, 11,828.26 and 5,214.05 is: 7,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.09 : 11,828.26 = 5,214.05 : x
  2. Step 2: Convert to fraction form
    8,571.09/11,828.26 = 5,214.05/x
  3. Step 3: Cross multiply
    8,571.09x = 11,828.26 × 5,214.05
  4. Step 4: Simplify right side
    8,571.09x = 61,673,139.05
  5. Step 5: Solve for x
    x = 61,673,139.05/8,571.09
  6. Step 6: Final answer
    x = 7,195.48

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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.