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Finding the Fourth Proportional to 8,536.48, 11,767.44 and 6,670.24

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Solution

The fourth proportional to 8,536.48, 11,767.44 and 6,670.24 is: 9,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.48 : 11,767.44 = 6,670.24 : x
  2. Step 2: Convert to fraction form
    8,536.48/11,767.44 = 6,670.24/x
  3. Step 3: Cross multiply
    8,536.48x = 11,767.44 × 6,670.24
  4. Step 4: Simplify right side
    8,536.48x = 78,491,648.99
  5. Step 5: Solve for x
    x = 78,491,648.99/8,536.48
  6. Step 6: Final answer
    x = 9,194.85

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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.