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Finding the Fourth Proportional to 11,209.44, 16,817.46 and 4,636

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Solution

The fourth proportional to 11,209.44, 16,817.46 and 4,636 is: 6,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.44 : 16,817.46 = 4,636 : x
  2. Step 2: Convert to fraction form
    11,209.44/16,817.46 = 4,636/x
  3. Step 3: Cross multiply
    11,209.44x = 16,817.46 × 4,636
  4. Step 4: Simplify right side
    11,209.44x = 77,965,744.56
  5. Step 5: Solve for x
    x = 77,965,744.56/11,209.44
  6. Step 6: Final answer
    x = 6,955.36

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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.