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Finding the Fourth Proportional to 11,023.84, 16,538.18 and 3,628

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Solution

The fourth proportional to 11,023.84, 16,538.18 and 3,628 is: 5,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.84 : 16,538.18 = 3,628 : x
  2. Step 2: Convert to fraction form
    11,023.84/16,538.18 = 3,628/x
  3. Step 3: Cross multiply
    11,023.84x = 16,538.18 × 3,628
  4. Step 4: Simplify right side
    11,023.84x = 60,000,517.04
  5. Step 5: Solve for x
    x = 60,000,517.04/11,023.84
  6. Step 6: Final answer
    x = 5,442.80

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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.