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Finding the Fourth Proportional to 10,977.96, 16,469.68 and 3,582.84

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Solution

The fourth proportional to 10,977.96, 16,469.68 and 3,582.84 is: 5,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.96 : 16,469.68 = 3,582.84 : x
  2. Step 2: Convert to fraction form
    10,977.96/16,469.68 = 3,582.84/x
  3. Step 3: Cross multiply
    10,977.96x = 16,469.68 × 3,582.84
  4. Step 4: Simplify right side
    10,977.96x = 59,008,228.29
  5. Step 5: Solve for x
    x = 59,008,228.29/10,977.96
  6. Step 6: Final answer
    x = 5,375.15

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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.