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Finding the Fourth Proportional to 7,891.16, 11,840.25 and 4,192.49

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Solution

The fourth proportional to 7,891.16, 11,840.25 and 4,192.49 is: 6,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.16 : 11,840.25 = 4,192.49 : x
  2. Step 2: Convert to fraction form
    7,891.16/11,840.25 = 4,192.49/x
  3. Step 3: Cross multiply
    7,891.16x = 11,840.25 × 4,192.49
  4. Step 4: Simplify right side
    7,891.16x = 49,640,129.72
  5. Step 5: Solve for x
    x = 49,640,129.72/7,891.16
  6. Step 6: Final answer
    x = 6,290.60

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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.