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Finding the Fourth Proportional to 11,596.08, 17,369.47 and 7,850.14

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Solution

The fourth proportional to 11,596.08, 17,369.47 and 7,850.14 is: 11,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.08 : 17,369.47 = 7,850.14 : x
  2. Step 2: Convert to fraction form
    11,596.08/17,369.47 = 7,850.14/x
  3. Step 3: Cross multiply
    11,596.08x = 17,369.47 × 7,850.14
  4. Step 4: Simplify right side
    11,596.08x = 136,352,771.23
  5. Step 5: Solve for x
    x = 136,352,771.23/11,596.08
  6. Step 6: Final answer
    x = 11,758.52

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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.