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Finding the Fourth Proportional to 11,209.80, 16,817.12 and 4,284.28

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Solution

The fourth proportional to 11,209.80, 16,817.12 and 4,284.28 is: 6,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.80 : 16,817.12 = 4,284.28 : x
  2. Step 2: Convert to fraction form
    11,209.80/16,817.12 = 4,284.28/x
  3. Step 3: Cross multiply
    11,209.80x = 16,817.12 × 4,284.28
  4. Step 4: Simplify right side
    11,209.80x = 72,049,250.87
  5. Step 5: Solve for x
    x = 72,049,250.87/11,209.80
  6. Step 6: Final answer
    x = 6,427.34

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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.