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Finding the Fourth Proportional to 11,371.10, 17,035.86 and 8,243.34

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Solution

The fourth proportional to 11,371.10, 17,035.86 and 8,243.34 is: 12,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.10 : 17,035.86 = 8,243.34 : x
  2. Step 2: Convert to fraction form
    11,371.10/17,035.86 = 8,243.34/x
  3. Step 3: Cross multiply
    11,371.10x = 17,035.86 × 8,243.34
  4. Step 4: Simplify right side
    11,371.10x = 140,432,428.76
  5. Step 5: Solve for x
    x = 140,432,428.76/11,371.10
  6. Step 6: Final answer
    x = 12,349.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.