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Finding the Fourth Proportional to 11,645.76, 17,469.04 and 3,854.36

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Solution

The fourth proportional to 11,645.76, 17,469.04 and 3,854.36 is: 5,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.76 : 17,469.04 = 3,854.36 : x
  2. Step 2: Convert to fraction form
    11,645.76/17,469.04 = 3,854.36/x
  3. Step 3: Cross multiply
    11,645.76x = 17,469.04 × 3,854.36
  4. Step 4: Simplify right side
    11,645.76x = 67,331,969.01
  5. Step 5: Solve for x
    x = 67,331,969.01/11,645.76
  6. Step 6: Final answer
    x = 5,781.67

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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.