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Finding the Fourth Proportional to 11,864.25, 16,372.95 and 7,679.79

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Solution

The fourth proportional to 11,864.25, 16,372.95 and 7,679.79 is: 10,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.25 : 16,372.95 = 7,679.79 : x
  2. Step 2: Convert to fraction form
    11,864.25/16,372.95 = 7,679.79/x
  3. Step 3: Cross multiply
    11,864.25x = 16,372.95 × 7,679.79
  4. Step 4: Simplify right side
    11,864.25x = 125,740,817.68
  5. Step 5: Solve for x
    x = 125,740,817.68/11,864.25
  6. Step 6: Final answer
    x = 10,598.29

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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.