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Finding the Fourth Proportional to 11,615.12, 17,416.74 and 4,217.68

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Solution

The fourth proportional to 11,615.12, 17,416.74 and 4,217.68 is: 6,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.12 : 17,416.74 = 4,217.68 : x
  2. Step 2: Convert to fraction form
    11,615.12/17,416.74 = 4,217.68/x
  3. Step 3: Cross multiply
    11,615.12x = 17,416.74 × 4,217.68
  4. Step 4: Simplify right side
    11,615.12x = 73,458,235.96
  5. Step 5: Solve for x
    x = 73,458,235.96/11,615.12
  6. Step 6: Final answer
    x = 6,324.36

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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.