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Finding the Fourth Proportional to 7,647.54, 11,475.49 and 2,967.73

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Solution

The fourth proportional to 7,647.54, 11,475.49 and 2,967.73 is: 4,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.54 : 11,475.49 = 2,967.73 : x
  2. Step 2: Convert to fraction form
    7,647.54/11,475.49 = 2,967.73/x
  3. Step 3: Cross multiply
    7,647.54x = 11,475.49 × 2,967.73
  4. Step 4: Simplify right side
    7,647.54x = 34,056,159.15
  5. Step 5: Solve for x
    x = 34,056,159.15/7,647.54
  6. Step 6: Final answer
    x = 4,453.22

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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.