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Finding the Fourth Proportional to 8,348.22, 11,523.81 and 5,697.09

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Solution

The fourth proportional to 8,348.22, 11,523.81 and 5,697.09 is: 7,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.22 : 11,523.81 = 5,697.09 : x
  2. Step 2: Convert to fraction form
    8,348.22/11,523.81 = 5,697.09/x
  3. Step 3: Cross multiply
    8,348.22x = 11,523.81 × 5,697.09
  4. Step 4: Simplify right side
    8,348.22x = 65,652,182.71
  5. Step 5: Solve for x
    x = 65,652,182.71/8,348.22
  6. Step 6: Final answer
    x = 7,864.21

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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.