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Finding the Fourth Proportional to 7,642.25, 11,447.73 and 4,512.81

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Solution

The fourth proportional to 7,642.25, 11,447.73 and 4,512.81 is: 6,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.25 : 11,447.73 = 4,512.81 : x
  2. Step 2: Convert to fraction form
    7,642.25/11,447.73 = 4,512.81/x
  3. Step 3: Cross multiply
    7,642.25x = 11,447.73 × 4,512.81
  4. Step 4: Simplify right side
    7,642.25x = 51,661,473.35
  5. Step 5: Solve for x
    x = 51,661,473.35/7,642.25
  6. Step 6: Final answer
    x = 6,759.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.