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Finding the Fourth Proportional to 11,596.08, 17,396.66 and 4,199.77

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Solution

The fourth proportional to 11,596.08, 17,396.66 and 4,199.77 is: 6,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.08 : 17,396.66 = 4,199.77 : x
  2. Step 2: Convert to fraction form
    11,596.08/17,396.66 = 4,199.77/x
  3. Step 3: Cross multiply
    11,596.08x = 17,396.66 × 4,199.77
  4. Step 4: Simplify right side
    11,596.08x = 73,061,970.77
  5. Step 5: Solve for x
    x = 73,061,970.77/11,596.08
  6. Step 6: Final answer
    x = 6,300.57

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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.