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Finding the Fourth Proportional to 7,647.98, 11,469.54 and 2,967.65

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Solution

The fourth proportional to 7,647.98, 11,469.54 and 2,967.65 is: 4,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.98 : 11,469.54 = 2,967.65 : x
  2. Step 2: Convert to fraction form
    7,647.98/11,469.54 = 2,967.65/x
  3. Step 3: Cross multiply
    7,647.98x = 11,469.54 × 2,967.65
  4. Step 4: Simplify right side
    7,647.98x = 34,037,580.38
  5. Step 5: Solve for x
    x = 34,037,580.38/7,647.98
  6. Step 6: Final answer
    x = 4,450.53

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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.