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Finding the Fourth Proportional to 10,783.98, 16,178.03 and 3,766.01

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Solution

The fourth proportional to 10,783.98, 16,178.03 and 3,766.01 is: 5,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.98 : 16,178.03 = 3,766.01 : x
  2. Step 2: Convert to fraction form
    10,783.98/16,178.03 = 3,766.01/x
  3. Step 3: Cross multiply
    10,783.98x = 16,178.03 × 3,766.01
  4. Step 4: Simplify right side
    10,783.98x = 60,926,523.04
  5. Step 5: Solve for x
    x = 60,926,523.04/10,783.98
  6. Step 6: Final answer
    x = 5,649.73

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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.