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Finding the Fourth Proportional to 11,600.11, 17,385.58 and 8,319.61

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Solution

The fourth proportional to 11,600.11, 17,385.58 and 8,319.61 is: 12,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.11 : 17,385.58 = 8,319.61 : x
  2. Step 2: Convert to fraction form
    11,600.11/17,385.58 = 8,319.61/x
  3. Step 3: Cross multiply
    11,600.11x = 17,385.58 × 8,319.61
  4. Step 4: Simplify right side
    11,600.11x = 144,641,245.22
  5. Step 5: Solve for x
    x = 144,641,245.22/11,600.11
  6. Step 6: Final answer
    x = 12,468.95

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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.