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Finding the Fourth Proportional to 8,134.06, 11,225 and 4,408.06

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Solution

The fourth proportional to 8,134.06, 11,225 and 4,408.06 is: 6,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.06 : 11,225 = 4,408.06 : x
  2. Step 2: Convert to fraction form
    8,134.06/11,225 = 4,408.06/x
  3. Step 3: Cross multiply
    8,134.06x = 11,225 × 4,408.06
  4. Step 4: Simplify right side
    8,134.06x = 49,480,473.50
  5. Step 5: Solve for x
    x = 49,480,473.50/8,134.06
  6. Step 6: Final answer
    x = 6,083.12

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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.