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Finding the Fourth Proportional to 8,642.02, 11,922.24 and 5,496.52

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Solution

The fourth proportional to 8,642.02, 11,922.24 and 5,496.52 is: 7,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.02 : 11,922.24 = 5,496.52 : x
  2. Step 2: Convert to fraction form
    8,642.02/11,922.24 = 5,496.52/x
  3. Step 3: Cross multiply
    8,642.02x = 11,922.24 × 5,496.52
  4. Step 4: Simplify right side
    8,642.02x = 65,530,830.60
  5. Step 5: Solve for x
    x = 65,530,830.60/8,642.02
  6. Step 6: Final answer
    x = 7,582.81

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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.