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Finding the Fourth Proportional to 12,977.78, 17,910.74 and 7,945.39

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Solution

The fourth proportional to 12,977.78, 17,910.74 and 7,945.39 is: 10,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.78 : 17,910.74 = 7,945.39 : x
  2. Step 2: Convert to fraction form
    12,977.78/17,910.74 = 7,945.39/x
  3. Step 3: Cross multiply
    12,977.78x = 17,910.74 × 7,945.39
  4. Step 4: Simplify right side
    12,977.78x = 142,307,789.58
  5. Step 5: Solve for x
    x = 142,307,789.58/12,977.78
  6. Step 6: Final answer
    x = 10,965.49

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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.