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Finding the Fourth Proportional to 10,914.92, 16,372.49 and 8,737.49

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Solution

The fourth proportional to 10,914.92, 16,372.49 and 8,737.49 is: 13,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.92 : 16,372.49 = 8,737.49 : x
  2. Step 2: Convert to fraction form
    10,914.92/16,372.49 = 8,737.49/x
  3. Step 3: Cross multiply
    10,914.92x = 16,372.49 × 8,737.49
  4. Step 4: Simplify right side
    10,914.92x = 143,054,342.10
  5. Step 5: Solve for x
    x = 143,054,342.10/10,914.92
  6. Step 6: Final answer
    x = 13,106.32

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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.