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Finding the Fourth Proportional to 11,661.20, 17,494.32 and 5,416.64

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Solution

The fourth proportional to 11,661.20, 17,494.32 and 5,416.64 is: 8,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.20 : 17,494.32 = 5,416.64 : x
  2. Step 2: Convert to fraction form
    11,661.20/17,494.32 = 5,416.64/x
  3. Step 3: Cross multiply
    11,661.20x = 17,494.32 × 5,416.64
  4. Step 4: Simplify right side
    11,661.20x = 94,760,433.48
  5. Step 5: Solve for x
    x = 94,760,433.48/11,661.20
  6. Step 6: Final answer
    x = 8,126.13

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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.