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Finding the Fourth Proportional to 7,640.15, 11,463.40 and 7,027.12

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Solution

The fourth proportional to 7,640.15, 11,463.40 and 7,027.12 is: 10,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.15 : 11,463.40 = 7,027.12 : x
  2. Step 2: Convert to fraction form
    7,640.15/11,463.40 = 7,027.12/x
  3. Step 3: Cross multiply
    7,640.15x = 11,463.40 × 7,027.12
  4. Step 4: Simplify right side
    7,640.15x = 80,554,630.09
  5. Step 5: Solve for x
    x = 80,554,630.09/7,640.15
  6. Step 6: Final answer
    x = 10,543.59

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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.