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Finding the Fourth Proportional to 10,108, 13,949.13 and 5,916.34

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Solution

The fourth proportional to 10,108, 13,949.13 and 5,916.34 is: 8,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 13,949.13 = 5,916.34 : x
  2. Step 2: Convert to fraction form
    10,108/13,949.13 = 5,916.34/x
  3. Step 3: Cross multiply
    10,108x = 13,949.13 × 5,916.34
  4. Step 4: Simplify right side
    10,108x = 82,527,795.78
  5. Step 5: Solve for x
    x = 82,527,795.78/10,108
  6. Step 6: Final answer
    x = 8,164.60

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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.