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Finding the Fourth Proportional to 10,900.35, 16,354.22 and 5,353.83

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Solution

The fourth proportional to 10,900.35, 16,354.22 and 5,353.83 is: 8,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.35 : 16,354.22 = 5,353.83 : x
  2. Step 2: Convert to fraction form
    10,900.35/16,354.22 = 5,353.83/x
  3. Step 3: Cross multiply
    10,900.35x = 16,354.22 × 5,353.83
  4. Step 4: Simplify right side
    10,900.35x = 87,557,686.89
  5. Step 5: Solve for x
    x = 87,557,686.89/10,900.35
  6. Step 6: Final answer
    x = 8,032.56

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