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Finding the Fourth Proportional to 10,796.12, 14,905.54 and 8,811.42

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Solution

The fourth proportional to 10,796.12, 14,905.54 and 8,811.42 is: 12,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.12 : 14,905.54 = 8,811.42 : x
  2. Step 2: Convert to fraction form
    10,796.12/14,905.54 = 8,811.42/x
  3. Step 3: Cross multiply
    10,796.12x = 14,905.54 × 8,811.42
  4. Step 4: Simplify right side
    10,796.12x = 131,338,973.27
  5. Step 5: Solve for x
    x = 131,338,973.27/10,796.12
  6. Step 6: Final answer
    x = 12,165.39

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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.