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Finding the Fourth Proportional to 11,882.48, 17,817.72 and 6,953.60

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Solution

The fourth proportional to 11,882.48, 17,817.72 and 6,953.60 is: 10,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.48 : 17,817.72 = 6,953.60 : x
  2. Step 2: Convert to fraction form
    11,882.48/17,817.72 = 6,953.60/x
  3. Step 3: Cross multiply
    11,882.48x = 17,817.72 × 6,953.60
  4. Step 4: Simplify right side
    11,882.48x = 123,897,297.79
  5. Step 5: Solve for x
    x = 123,897,297.79/11,882.48
  6. Step 6: Final answer
    x = 10,426.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.