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Finding the Fourth Proportional to 11,395, 17,089.76 and 5,845.48

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Solution

The fourth proportional to 11,395, 17,089.76 and 5,845.48 is: 8,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395 : 17,089.76 = 5,845.48 : x
  2. Step 2: Convert to fraction form
    11,395/17,089.76 = 5,845.48/x
  3. Step 3: Cross multiply
    11,395x = 17,089.76 × 5,845.48
  4. Step 4: Simplify right side
    11,395x = 99,897,850.28
  5. Step 5: Solve for x
    x = 99,897,850.28/11,395
  6. Step 6: Final answer
    x = 8,766.81

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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.