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Finding the Fourth Proportional to 8,408.16, 11,593.44 and 7,899.84

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Solution

The fourth proportional to 8,408.16, 11,593.44 and 7,899.84 is: 10,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.16 : 11,593.44 = 7,899.84 : x
  2. Step 2: Convert to fraction form
    8,408.16/11,593.44 = 7,899.84/x
  3. Step 3: Cross multiply
    8,408.16x = 11,593.44 × 7,899.84
  4. Step 4: Simplify right side
    8,408.16x = 91,586,321.05
  5. Step 5: Solve for x
    x = 91,586,321.05/8,408.16
  6. Step 6: Final answer
    x = 10,892.55

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1.5x scale

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.