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Finding the Fourth Proportional to 8,044.25, 11,090.79 and 5,206.61

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Solution

The fourth proportional to 8,044.25, 11,090.79 and 5,206.61 is: 7,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.25 : 11,090.79 = 5,206.61 : x
  2. Step 2: Convert to fraction form
    8,044.25/11,090.79 = 5,206.61/x
  3. Step 3: Cross multiply
    8,044.25x = 11,090.79 × 5,206.61
  4. Step 4: Simplify right side
    8,044.25x = 57,745,445.85
  5. Step 5: Solve for x
    x = 57,745,445.85/8,044.25
  6. Step 6: Final answer
    x = 7,178.48

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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.