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Finding the Fourth Proportional to 10,755.53, 16,133.14 and 5,209.37

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Solution

The fourth proportional to 10,755.53, 16,133.14 and 5,209.37 is: 7,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.53 : 16,133.14 = 5,209.37 : x
  2. Step 2: Convert to fraction form
    10,755.53/16,133.14 = 5,209.37/x
  3. Step 3: Cross multiply
    10,755.53x = 16,133.14 × 5,209.37
  4. Step 4: Simplify right side
    10,755.53x = 84,043,495.52
  5. Step 5: Solve for x
    x = 84,043,495.52/10,755.53
  6. Step 6: Final answer
    x = 7,813.98

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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.