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Finding the Fourth Proportional to 10,709.77, 16,062.05 and 4,469.83

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Solution

The fourth proportional to 10,709.77, 16,062.05 and 4,469.83 is: 6,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.77 : 16,062.05 = 4,469.83 : x
  2. Step 2: Convert to fraction form
    10,709.77/16,062.05 = 4,469.83/x
  3. Step 3: Cross multiply
    10,709.77x = 16,062.05 × 4,469.83
  4. Step 4: Simplify right side
    10,709.77x = 71,794,669.18
  5. Step 5: Solve for x
    x = 71,794,669.18/10,709.77
  6. Step 6: Final answer
    x = 6,703.66

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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.