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Finding the Fourth Proportional to 12,977.82, 17,910.72 and 7,945.37

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Solution

The fourth proportional to 12,977.82, 17,910.72 and 7,945.37 is: 10,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.82 : 17,910.72 = 7,945.37 : x
  2. Step 2: Convert to fraction form
    12,977.82/17,910.72 = 7,945.37/x
  3. Step 3: Cross multiply
    12,977.82x = 17,910.72 × 7,945.37
  4. Step 4: Simplify right side
    12,977.82x = 142,307,207.81
  5. Step 5: Solve for x
    x = 142,307,207.81/12,977.82
  6. Step 6: Final answer
    x = 10,965.42

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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.