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Finding the Fourth Proportional to 8,111.62, 12,185.79 and 7,004.44

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Solution

The fourth proportional to 8,111.62, 12,185.79 and 7,004.44 is: 10,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.62 : 12,185.79 = 7,004.44 : x
  2. Step 2: Convert to fraction form
    8,111.62/12,185.79 = 7,004.44/x
  3. Step 3: Cross multiply
    8,111.62x = 12,185.79 × 7,004.44
  4. Step 4: Simplify right side
    8,111.62x = 85,354,634.91
  5. Step 5: Solve for x
    x = 85,354,634.91/8,111.62
  6. Step 6: Final answer
    x = 10,522.51

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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.