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Finding the Fourth Proportional to 11,205.76, 16,810.56 and 3,414.40

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Solution

The fourth proportional to 11,205.76, 16,810.56 and 3,414.40 is: 5,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.76 : 16,810.56 = 3,414.40 : x
  2. Step 2: Convert to fraction form
    11,205.76/16,810.56 = 3,414.40/x
  3. Step 3: Cross multiply
    11,205.76x = 16,810.56 × 3,414.40
  4. Step 4: Simplify right side
    11,205.76x = 57,397,976.06
  5. Step 5: Solve for x
    x = 57,397,976.06/11,205.76
  6. Step 6: Final answer
    x = 5,122.19

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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.