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Finding the Fourth Proportional to 8,000.25, 11,983.03 and 5,804.13

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Solution

The fourth proportional to 8,000.25, 11,983.03 and 5,804.13 is: 8,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.25 : 11,983.03 = 5,804.13 : x
  2. Step 2: Convert to fraction form
    8,000.25/11,983.03 = 5,804.13/x
  3. Step 3: Cross multiply
    8,000.25x = 11,983.03 × 5,804.13
  4. Step 4: Simplify right side
    8,000.25x = 69,551,063.91
  5. Step 5: Solve for x
    x = 69,551,063.91/8,000.25
  6. Step 6: Final answer
    x = 8,693.61

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1.5x scale

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.