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Finding the Fourth Proportional to 8,267.25, 11,408.68 and 4,490.46

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Solution

The fourth proportional to 8,267.25, 11,408.68 and 4,490.46 is: 6,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.25 : 11,408.68 = 4,490.46 : x
  2. Step 2: Convert to fraction form
    8,267.25/11,408.68 = 4,490.46/x
  3. Step 3: Cross multiply
    8,267.25x = 11,408.68 × 4,490.46
  4. Step 4: Simplify right side
    8,267.25x = 51,230,258.89
  5. Step 5: Solve for x
    x = 51,230,258.89/8,267.25
  6. Step 6: Final answer
    x = 6,196.77

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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.