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Finding the Fourth Proportional to 8,906.86, 13,353.81 and 5,446.54

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Solution

The fourth proportional to 8,906.86, 13,353.81 and 5,446.54 is: 8,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.86 : 13,353.81 = 5,446.54 : x
  2. Step 2: Convert to fraction form
    8,906.86/13,353.81 = 5,446.54/x
  3. Step 3: Cross multiply
    8,906.86x = 13,353.81 × 5,446.54
  4. Step 4: Simplify right side
    8,906.86x = 72,732,060.32
  5. Step 5: Solve for x
    x = 72,732,060.32/8,906.86
  6. Step 6: Final answer
    x = 8,165.85

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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.