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Finding the Fourth Proportional to 8,003.26, 11,045.13 and 4,467.00

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Solution

The fourth proportional to 8,003.26, 11,045.13 and 4,467.00 is: 6,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.26 : 11,045.13 = 4,467.00 : x
  2. Step 2: Convert to fraction form
    8,003.26/11,045.13 = 4,467.00/x
  3. Step 3: Cross multiply
    8,003.26x = 11,045.13 × 4,467.00
  4. Step 4: Simplify right side
    8,003.26x = 49,338,620.38
  5. Step 5: Solve for x
    x = 49,338,620.38/8,003.26
  6. Step 6: Final answer
    x = 6,164.81

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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.