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Finding the Fourth Proportional to 10,141.92, 15,192.21 and 8,274.47

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Solution

The fourth proportional to 10,141.92, 15,192.21 and 8,274.47 is: 12,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.92 : 15,192.21 = 8,274.47 : x
  2. Step 2: Convert to fraction form
    10,141.92/15,192.21 = 8,274.47/x
  3. Step 3: Cross multiply
    10,141.92x = 15,192.21 × 8,274.47
  4. Step 4: Simplify right side
    10,141.92x = 125,707,409.92
  5. Step 5: Solve for x
    x = 125,707,409.92/10,141.92
  6. Step 6: Final answer
    x = 12,394.83

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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.