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Finding the Fourth Proportional to 11,023.74, 16,513.74 and 5,162.58

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Solution

The fourth proportional to 11,023.74, 16,513.74 and 5,162.58 is: 7,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.74 : 16,513.74 = 5,162.58 : x
  2. Step 2: Convert to fraction form
    11,023.74/16,513.74 = 5,162.58/x
  3. Step 3: Cross multiply
    11,023.74x = 16,513.74 × 5,162.58
  4. Step 4: Simplify right side
    11,023.74x = 85,253,503.85
  5. Step 5: Solve for x
    x = 85,253,503.85/11,023.74
  6. Step 6: Final answer
    x = 7,733.63

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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.