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Finding the Fourth Proportional to 11,311.48, 16,968.78 and 3,913.96

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Solution

The fourth proportional to 11,311.48, 16,968.78 and 3,913.96 is: 5,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.48 : 16,968.78 = 3,913.96 : x
  2. Step 2: Convert to fraction form
    11,311.48/16,968.78 = 3,913.96/x
  3. Step 3: Cross multiply
    11,311.48x = 16,968.78 × 3,913.96
  4. Step 4: Simplify right side
    11,311.48x = 66,415,126.17
  5. Step 5: Solve for x
    x = 66,415,126.17/11,311.48
  6. Step 6: Final answer
    x = 5,871.48

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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.