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Finding the Fourth Proportional to 11,596.29, 17,394.51 and 3,276.27

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Solution

The fourth proportional to 11,596.29, 17,394.51 and 3,276.27 is: 4,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.29 : 17,394.51 = 3,276.27 : x
  2. Step 2: Convert to fraction form
    11,596.29/17,394.51 = 3,276.27/x
  3. Step 3: Cross multiply
    11,596.29x = 17,394.51 × 3,276.27
  4. Step 4: Simplify right side
    11,596.29x = 56,989,111.28
  5. Step 5: Solve for x
    x = 56,989,111.28/11,596.29
  6. Step 6: Final answer
    x = 4,914.43

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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.