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Finding the Fourth Proportional to 8,038.02, 11,092.23 and 4,453.23

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Solution

The fourth proportional to 8,038.02, 11,092.23 and 4,453.23 is: 6,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.02 : 11,092.23 = 4,453.23 : x
  2. Step 2: Convert to fraction form
    8,038.02/11,092.23 = 4,453.23/x
  3. Step 3: Cross multiply
    8,038.02x = 11,092.23 × 4,453.23
  4. Step 4: Simplify right side
    8,038.02x = 49,396,251.40
  5. Step 5: Solve for x
    x = 49,396,251.40/8,038.02
  6. Step 6: Final answer
    x = 6,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.