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Finding the Fourth Proportional to 11,596.72, 17,396.40 and 4,204.64

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Solution

The fourth proportional to 11,596.72, 17,396.40 and 4,204.64 is: 6,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.72 : 17,396.40 = 4,204.64 : x
  2. Step 2: Convert to fraction form
    11,596.72/17,396.40 = 4,204.64/x
  3. Step 3: Cross multiply
    11,596.72x = 17,396.40 × 4,204.64
  4. Step 4: Simplify right side
    11,596.72x = 73,145,599.30
  5. Step 5: Solve for x
    x = 73,145,599.30/11,596.72
  6. Step 6: Final answer
    x = 6,307.44

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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.