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Finding the Fourth Proportional to 11,818.10, 17,692.56 and 7,169.78

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Solution

The fourth proportional to 11,818.10, 17,692.56 and 7,169.78 is: 10,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.10 : 17,692.56 = 7,169.78 : x
  2. Step 2: Convert to fraction form
    11,818.10/17,692.56 = 7,169.78/x
  3. Step 3: Cross multiply
    11,818.10x = 17,692.56 × 7,169.78
  4. Step 4: Simplify right side
    11,818.10x = 126,851,762.84
  5. Step 5: Solve for x
    x = 126,851,762.84/11,818.10
  6. Step 6: Final answer
    x = 10,733.69

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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.