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Finding the Fourth Proportional to 10,727.80, 16,057.98 and 7,430.90

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Solution

The fourth proportional to 10,727.80, 16,057.98 and 7,430.90 is: 11,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.80 : 16,057.98 = 7,430.90 : x
  2. Step 2: Convert to fraction form
    10,727.80/16,057.98 = 7,430.90/x
  3. Step 3: Cross multiply
    10,727.80x = 16,057.98 × 7,430.90
  4. Step 4: Simplify right side
    10,727.80x = 119,325,163.29
  5. Step 5: Solve for x
    x = 119,325,163.29/10,727.80
  6. Step 6: Final answer
    x = 11,122.99

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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.