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Finding the Fourth Proportional to 10,813.50, 16,222.87 and 5,265.59

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Solution

The fourth proportional to 10,813.50, 16,222.87 and 5,265.59 is: 7,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.50 : 16,222.87 = 5,265.59 : x
  2. Step 2: Convert to fraction form
    10,813.50/16,222.87 = 5,265.59/x
  3. Step 3: Cross multiply
    10,813.50x = 16,222.87 × 5,265.59
  4. Step 4: Simplify right side
    10,813.50x = 85,422,922.32
  5. Step 5: Solve for x
    x = 85,422,922.32/10,813.50
  6. Step 6: Final answer
    x = 7,899.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.