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Finding the Fourth Proportional to 11,596.59, 17,397.41 and 4,200.27

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Solution

The fourth proportional to 11,596.59, 17,397.41 and 4,200.27 is: 6,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.59 : 17,397.41 = 4,200.27 : x
  2. Step 2: Convert to fraction form
    11,596.59/17,397.41 = 4,200.27/x
  3. Step 3: Cross multiply
    11,596.59x = 17,397.41 × 4,200.27
  4. Step 4: Simplify right side
    11,596.59x = 73,073,798.30
  5. Step 5: Solve for x
    x = 73,073,798.30/11,596.59
  6. Step 6: Final answer
    x = 6,301.32

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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.