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Finding the Fourth Proportional to 8,267.66, 11,408.58 and 4,682.78

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Solution

The fourth proportional to 8,267.66, 11,408.58 and 4,682.78 is: 6,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.66 : 11,408.58 = 4,682.78 : x
  2. Step 2: Convert to fraction form
    8,267.66/11,408.58 = 4,682.78/x
  3. Step 3: Cross multiply
    8,267.66x = 11,408.58 × 4,682.78
  4. Step 4: Simplify right side
    8,267.66x = 53,423,870.25
  5. Step 5: Solve for x
    x = 53,423,870.25/8,267.66
  6. Step 6: Final answer
    x = 6,461.79

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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.