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Finding the Fourth Proportional to 10,813.88, 16,223.52 and 3,022.63

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Solution

The fourth proportional to 10,813.88, 16,223.52 and 3,022.63 is: 4,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.88 : 16,223.52 = 3,022.63 : x
  2. Step 2: Convert to fraction form
    10,813.88/16,223.52 = 3,022.63/x
  3. Step 3: Cross multiply
    10,813.88x = 16,223.52 × 3,022.63
  4. Step 4: Simplify right side
    10,813.88x = 49,037,617.14
  5. Step 5: Solve for x
    x = 49,037,617.14/10,813.88
  6. Step 6: Final answer
    x = 4,534.69

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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.