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Finding the Fourth Proportional to 10,768.99, 16,147.26 and 4,187.48

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Solution

The fourth proportional to 10,768.99, 16,147.26 and 4,187.48 is: 6,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.99 : 16,147.26 = 4,187.48 : x
  2. Step 2: Convert to fraction form
    10,768.99/16,147.26 = 4,187.48/x
  3. Step 3: Cross multiply
    10,768.99x = 16,147.26 × 4,187.48
  4. Step 4: Simplify right side
    10,768.99x = 67,616,328.30
  5. Step 5: Solve for x
    x = 67,616,328.30/10,768.99
  6. Step 6: Final answer
    x = 6,278.80

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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.