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Finding the Fourth Proportional to 12,966.71, 17,894.41 and 7,930.83

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Solution

The fourth proportional to 12,966.71, 17,894.41 and 7,930.83 is: 10,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.71 : 17,894.41 = 7,930.83 : x
  2. Step 2: Convert to fraction form
    12,966.71/17,894.41 = 7,930.83/x
  3. Step 3: Cross multiply
    12,966.71x = 17,894.41 × 7,930.83
  4. Step 4: Simplify right side
    12,966.71x = 141,917,570.94
  5. Step 5: Solve for x
    x = 141,917,570.94/12,966.71
  6. Step 6: Final answer
    x = 10,944.77

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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.