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Finding the Fourth Proportional to 10,919.53, 16,380.11 and 3,527.47

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Solution

The fourth proportional to 10,919.53, 16,380.11 and 3,527.47 is: 5,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.53 : 16,380.11 = 3,527.47 : x
  2. Step 2: Convert to fraction form
    10,919.53/16,380.11 = 3,527.47/x
  3. Step 3: Cross multiply
    10,919.53x = 16,380.11 × 3,527.47
  4. Step 4: Simplify right side
    10,919.53x = 57,780,346.62
  5. Step 5: Solve for x
    x = 57,780,346.62/10,919.53
  6. Step 6: Final answer
    x = 5,291.47

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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.