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Finding the Fourth Proportional to 11,596.92, 17,395.08 and 5,591.64

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Solution

The fourth proportional to 11,596.92, 17,395.08 and 5,591.64 is: 8,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.92 : 17,395.08 = 5,591.64 : x
  2. Step 2: Convert to fraction form
    11,596.92/17,395.08 = 5,591.64/x
  3. Step 3: Cross multiply
    11,596.92x = 17,395.08 × 5,591.64
  4. Step 4: Simplify right side
    11,596.92x = 97,267,025.13
  5. Step 5: Solve for x
    x = 97,267,025.13/11,596.92
  6. Step 6: Final answer
    x = 8,387.32

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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.