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Finding the Fourth Proportional to 10,693.80, 16,037.04 and 5,426.78

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Solution

The fourth proportional to 10,693.80, 16,037.04 and 5,426.78 is: 8,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.80 : 16,037.04 = 5,426.78 : x
  2. Step 2: Convert to fraction form
    10,693.80/16,037.04 = 5,426.78/x
  3. Step 3: Cross multiply
    10,693.80x = 16,037.04 × 5,426.78
  4. Step 4: Simplify right side
    10,693.80x = 87,029,487.93
  5. Step 5: Solve for x
    x = 87,029,487.93/10,693.80
  6. Step 6: Final answer
    x = 8,138.31

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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.