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Finding the Fourth Proportional to 8,564.09, 12,837.44 and 5,791.08

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Solution

The fourth proportional to 8,564.09, 12,837.44 and 5,791.08 is: 8,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.09 : 12,837.44 = 5,791.08 : x
  2. Step 2: Convert to fraction form
    8,564.09/12,837.44 = 5,791.08/x
  3. Step 3: Cross multiply
    8,564.09x = 12,837.44 × 5,791.08
  4. Step 4: Simplify right side
    8,564.09x = 74,342,642.04
  5. Step 5: Solve for x
    x = 74,342,642.04/8,564.09
  6. Step 6: Final answer
    x = 8,680.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.