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Finding the Fourth Proportional to 11,493.24, 17,243.57 and 5,645.74

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Solution

The fourth proportional to 11,493.24, 17,243.57 and 5,645.74 is: 8,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.24 : 17,243.57 = 5,645.74 : x
  2. Step 2: Convert to fraction form
    11,493.24/17,243.57 = 5,645.74/x
  3. Step 3: Cross multiply
    11,493.24x = 17,243.57 × 5,645.74
  4. Step 4: Simplify right side
    11,493.24x = 97,352,712.89
  5. Step 5: Solve for x
    x = 97,352,712.89/11,493.24
  6. Step 6: Final answer
    x = 8,470.43

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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.