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Finding the Fourth Proportional to 13,166.93, 18,168.99 and 7,861.02

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Solution

The fourth proportional to 13,166.93, 18,168.99 and 7,861.02 is: 10,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.93 : 18,168.99 = 7,861.02 : x
  2. Step 2: Convert to fraction form
    13,166.93/18,168.99 = 7,861.02/x
  3. Step 3: Cross multiply
    13,166.93x = 18,168.99 × 7,861.02
  4. Step 4: Simplify right side
    13,166.93x = 142,826,793.77
  5. Step 5: Solve for x
    x = 142,826,793.77/13,166.93
  6. Step 6: Final answer
    x = 10,847.39

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Why These Related Problems?

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