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Finding the Fourth Proportional to 8,000.16, 11,999.89 and 5,663.49

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Solution

The fourth proportional to 8,000.16, 11,999.89 and 5,663.49 is: 8,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.16 : 11,999.89 = 5,663.49 : x
  2. Step 2: Convert to fraction form
    8,000.16/11,999.89 = 5,663.49/x
  3. Step 3: Cross multiply
    8,000.16x = 11,999.89 × 5,663.49
  4. Step 4: Simplify right side
    8,000.16x = 67,961,257.02
  5. Step 5: Solve for x
    x = 67,961,257.02/8,000.16
  6. Step 6: Final answer
    x = 8,494.99

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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.