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Finding the Fourth Proportional to 12,077.91, 16,651.17 and 8,299.67

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Solution

The fourth proportional to 12,077.91, 16,651.17 and 8,299.67 is: 11,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.91 : 16,651.17 = 8,299.67 : x
  2. Step 2: Convert to fraction form
    12,077.91/16,651.17 = 8,299.67/x
  3. Step 3: Cross multiply
    12,077.91x = 16,651.17 × 8,299.67
  4. Step 4: Simplify right side
    12,077.91x = 138,199,132.86
  5. Step 5: Solve for x
    x = 138,199,132.86/12,077.91
  6. Step 6: Final answer
    x = 11,442.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.