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Finding the Fourth Proportional to 7,643.65, 11,466.54 and 2,379.05

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Solution

The fourth proportional to 7,643.65, 11,466.54 and 2,379.05 is: 3,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.65 : 11,466.54 = 2,379.05 : x
  2. Step 2: Convert to fraction form
    7,643.65/11,466.54 = 2,379.05/x
  3. Step 3: Cross multiply
    7,643.65x = 11,466.54 × 2,379.05
  4. Step 4: Simplify right side
    7,643.65x = 27,279,433.77
  5. Step 5: Solve for x
    x = 27,279,433.77/7,643.65
  6. Step 6: Final answer
    x = 3,568.90

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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.