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Finding the Fourth Proportional to 11,671.49, 16,101.45 and 7,193.61

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Solution

The fourth proportional to 11,671.49, 16,101.45 and 7,193.61 is: 9,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.49 : 16,101.45 = 7,193.61 : x
  2. Step 2: Convert to fraction form
    11,671.49/16,101.45 = 7,193.61/x
  3. Step 3: Cross multiply
    11,671.49x = 16,101.45 × 7,193.61
  4. Step 4: Simplify right side
    11,671.49x = 115,827,551.73
  5. Step 5: Solve for x
    x = 115,827,551.73/11,671.49
  6. Step 6: Final answer
    x = 9,923.97

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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.