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Finding the Fourth Proportional to 11,023.76, 16,535.80 and 3,628.80

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Solution

The fourth proportional to 11,023.76, 16,535.80 and 3,628.80 is: 5,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.76 : 16,535.80 = 3,628.80 : x
  2. Step 2: Convert to fraction form
    11,023.76/16,535.80 = 3,628.80/x
  3. Step 3: Cross multiply
    11,023.76x = 16,535.80 × 3,628.80
  4. Step 4: Simplify right side
    11,023.76x = 60,005,111.04
  5. Step 5: Solve for x
    x = 60,005,111.04/11,023.76
  6. Step 6: Final answer
    x = 5,443.25

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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.