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Finding the Fourth Proportional to 11,856.44, 17,794.89 and 6,596.71

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Solution

The fourth proportional to 11,856.44, 17,794.89 and 6,596.71 is: 9,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.44 : 17,794.89 = 6,596.71 : x
  2. Step 2: Convert to fraction form
    11,856.44/17,794.89 = 6,596.71/x
  3. Step 3: Cross multiply
    11,856.44x = 17,794.89 × 6,596.71
  4. Step 4: Simplify right side
    11,856.44x = 117,387,684.32
  5. Step 5: Solve for x
    x = 117,387,684.32/11,856.44
  6. Step 6: Final answer
    x = 9,900.75

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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.