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Finding the Fourth Proportional to 11,034, 16,539.24 and 5,185.80

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Solution

The fourth proportional to 11,034, 16,539.24 and 5,185.80 is: 7,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034 : 16,539.24 = 5,185.80 : x
  2. Step 2: Convert to fraction form
    11,034/16,539.24 = 5,185.80/x
  3. Step 3: Cross multiply
    11,034x = 16,539.24 × 5,185.80
  4. Step 4: Simplify right side
    11,034x = 85,769,190.79
  5. Step 5: Solve for x
    x = 85,769,190.79/11,034
  6. Step 6: Final answer
    x = 7,773.17

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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.