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Finding the Fourth Proportional to 11,596.18, 17,394.40 and 3,276.40

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Solution

The fourth proportional to 11,596.18, 17,394.40 and 3,276.40 is: 4,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.18 : 17,394.40 = 3,276.40 : x
  2. Step 2: Convert to fraction form
    11,596.18/17,394.40 = 3,276.40/x
  3. Step 3: Cross multiply
    11,596.18x = 17,394.40 × 3,276.40
  4. Step 4: Simplify right side
    11,596.18x = 56,991,012.16
  5. Step 5: Solve for x
    x = 56,991,012.16/11,596.18
  6. Step 6: Final answer
    x = 4,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.