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Finding the Fourth Proportional to 8,164.82, 11,266.59 and 4,807.42

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Solution

The fourth proportional to 8,164.82, 11,266.59 and 4,807.42 is: 6,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.82 : 11,266.59 = 4,807.42 : x
  2. Step 2: Convert to fraction form
    8,164.82/11,266.59 = 4,807.42/x
  3. Step 3: Cross multiply
    8,164.82x = 11,266.59 × 4,807.42
  4. Step 4: Simplify right side
    8,164.82x = 54,163,219.96
  5. Step 5: Solve for x
    x = 54,163,219.96/8,164.82
  6. Step 6: Final answer
    x = 6,633.73

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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.