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Finding the Fourth Proportional to 11,352.36, 17,044.62 and 6,431.64

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Solution

The fourth proportional to 11,352.36, 17,044.62 and 6,431.64 is: 9,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.36 : 17,044.62 = 6,431.64 : x
  2. Step 2: Convert to fraction form
    11,352.36/17,044.62 = 6,431.64/x
  3. Step 3: Cross multiply
    11,352.36x = 17,044.62 × 6,431.64
  4. Step 4: Simplify right side
    11,352.36x = 109,624,859.78
  5. Step 5: Solve for x
    x = 109,624,859.78/11,352.36
  6. Step 6: Final answer
    x = 9,656.57

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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.