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Finding the Fourth Proportional to 7,647.84, 11,471.52 and 3,262.44

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Solution

The fourth proportional to 7,647.84, 11,471.52 and 3,262.44 is: 4,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.84 : 11,471.52 = 3,262.44 : x
  2. Step 2: Convert to fraction form
    7,647.84/11,471.52 = 3,262.44/x
  3. Step 3: Cross multiply
    7,647.84x = 11,471.52 × 3,262.44
  4. Step 4: Simplify right side
    7,647.84x = 37,425,145.71
  5. Step 5: Solve for x
    x = 37,425,145.71/7,647.84
  6. Step 6: Final answer
    x = 4,893.56

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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.