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Finding the Fourth Proportional to 12,112, 16,715.52 and 7,144.96

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Solution

The fourth proportional to 12,112, 16,715.52 and 7,144.96 is: 9,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112 : 16,715.52 = 7,144.96 : x
  2. Step 2: Convert to fraction form
    12,112/16,715.52 = 7,144.96/x
  3. Step 3: Cross multiply
    12,112x = 16,715.52 × 7,144.96
  4. Step 4: Simplify right side
    12,112x = 119,431,721.78
  5. Step 5: Solve for x
    x = 119,431,721.78/12,112
  6. Step 6: Final answer
    x = 9,860.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.