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Finding the Fourth Proportional to 8,134.16, 11,224.84 and 4,408.08

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Solution

The fourth proportional to 8,134.16, 11,224.84 and 4,408.08 is: 6,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.16 : 11,224.84 = 4,408.08 : x
  2. Step 2: Convert to fraction form
    8,134.16/11,224.84 = 4,408.08/x
  3. Step 3: Cross multiply
    8,134.16x = 11,224.84 × 4,408.08
  4. Step 4: Simplify right side
    8,134.16x = 49,479,992.71
  5. Step 5: Solve for x
    x = 49,479,992.71/8,134.16
  6. Step 6: Final answer
    x = 6,082.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.