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Finding the Fourth Proportional to 12,934.40, 17,849.07 and 7,896.80

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Solution

The fourth proportional to 12,934.40, 17,849.07 and 7,896.80 is: 10,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.40 : 17,849.07 = 7,896.80 : x
  2. Step 2: Convert to fraction form
    12,934.40/17,849.07 = 7,896.80/x
  3. Step 3: Cross multiply
    12,934.40x = 17,849.07 × 7,896.80
  4. Step 4: Simplify right side
    12,934.40x = 140,950,446.73
  5. Step 5: Solve for x
    x = 140,950,446.73/12,934.40
  6. Step 6: Final answer
    x = 10,897.34

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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.