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Finding the Fourth Proportional to 10,846.82, 14,957.83 and 8,164.46

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Solution

The fourth proportional to 10,846.82, 14,957.83 and 8,164.46 is: 11,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.82 : 14,957.83 = 8,164.46 : x
  2. Step 2: Convert to fraction form
    10,846.82/14,957.83 = 8,164.46/x
  3. Step 3: Cross multiply
    10,846.82x = 14,957.83 × 8,164.46
  4. Step 4: Simplify right side
    10,846.82x = 122,122,604.72
  5. Step 5: Solve for x
    x = 122,122,604.72/10,846.82
  6. Step 6: Final answer
    x = 11,258.84

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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.