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Finding the Fourth Proportional to 8,003.30, 11,182.75 and 8,003.30

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Solution

The fourth proportional to 8,003.30, 11,182.75 and 8,003.30 is: 11,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.30 : 11,182.75 = 8,003.30 : x
  2. Step 2: Convert to fraction form
    8,003.30/11,182.75 = 8,003.30/x
  3. Step 3: Cross multiply
    8,003.30x = 11,182.75 × 8,003.30
  4. Step 4: Simplify right side
    8,003.30x = 89,498,903.08
  5. Step 5: Solve for x
    x = 89,498,903.08/8,003.30
  6. Step 6: Final answer
    x = 11,182.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.