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Finding the Fourth Proportional to 11,431.76, 17,147.12 and 4,410.47

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Solution

The fourth proportional to 11,431.76, 17,147.12 and 4,410.47 is: 6,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.76 : 17,147.12 = 4,410.47 : x
  2. Step 2: Convert to fraction form
    11,431.76/17,147.12 = 4,410.47/x
  3. Step 3: Cross multiply
    11,431.76x = 17,147.12 × 4,410.47
  4. Step 4: Simplify right side
    11,431.76x = 75,626,879.16
  5. Step 5: Solve for x
    x = 75,626,879.16/11,431.76
  6. Step 6: Final answer
    x = 6,615.51

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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.