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Finding the Fourth Proportional to 8,194.51, 11,306.73 and 5,209.26

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Solution

The fourth proportional to 8,194.51, 11,306.73 and 5,209.26 is: 7,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.51 : 11,306.73 = 5,209.26 : x
  2. Step 2: Convert to fraction form
    8,194.51/11,306.73 = 5,209.26/x
  3. Step 3: Cross multiply
    8,194.51x = 11,306.73 × 5,209.26
  4. Step 4: Simplify right side
    8,194.51x = 58,899,696.32
  5. Step 5: Solve for x
    x = 58,899,696.32/8,194.51
  6. Step 6: Final answer
    x = 7,187.70

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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.