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Finding the Fourth Proportional to 11,708.97, 16,171.69 and 7,873.94

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Solution

The fourth proportional to 11,708.97, 16,171.69 and 7,873.94 is: 10,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.97 : 16,171.69 = 7,873.94 : x
  2. Step 2: Convert to fraction form
    11,708.97/16,171.69 = 7,873.94/x
  3. Step 3: Cross multiply
    11,708.97x = 16,171.69 × 7,873.94
  4. Step 4: Simplify right side
    11,708.97x = 127,334,916.76
  5. Step 5: Solve for x
    x = 127,334,916.76/11,708.97
  6. Step 6: Final answer
    x = 10,874.99

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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.