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Finding the Fourth Proportional to 10,385.50, 15,582.81 and 5,453.99

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Solution

The fourth proportional to 10,385.50, 15,582.81 and 5,453.99 is: 8,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.50 : 15,582.81 = 5,453.99 : x
  2. Step 2: Convert to fraction form
    10,385.50/15,582.81 = 5,453.99/x
  3. Step 3: Cross multiply
    10,385.50x = 15,582.81 × 5,453.99
  4. Step 4: Simplify right side
    10,385.50x = 84,988,489.91
  5. Step 5: Solve for x
    x = 84,988,489.91/10,385.50
  6. Step 6: Final answer
    x = 8,183.38

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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.