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Finding the Fourth Proportional to 10,796.64, 14,906.24 and 8,811.93

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Solution

The fourth proportional to 10,796.64, 14,906.24 and 8,811.93 is: 12,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.64 : 14,906.24 = 8,811.93 : x
  2. Step 2: Convert to fraction form
    10,796.64/14,906.24 = 8,811.93/x
  3. Step 3: Cross multiply
    10,796.64x = 14,906.24 × 8,811.93
  4. Step 4: Simplify right side
    10,796.64x = 131,352,743.44
  5. Step 5: Solve for x
    x = 131,352,743.44/10,796.64
  6. Step 6: Final answer
    x = 12,166.08

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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.