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Finding the Fourth Proportional to 7,625.88, 11,428.63 and 3,237.84

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Solution

The fourth proportional to 7,625.88, 11,428.63 and 3,237.84 is: 4,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.88 : 11,428.63 = 3,237.84 : x
  2. Step 2: Convert to fraction form
    7,625.88/11,428.63 = 3,237.84/x
  3. Step 3: Cross multiply
    7,625.88x = 11,428.63 × 3,237.84
  4. Step 4: Simplify right side
    7,625.88x = 37,004,067.26
  5. Step 5: Solve for x
    x = 37,004,067.26/7,625.88
  6. Step 6: Final answer
    x = 4,852.43

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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.