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Finding the Fourth Proportional to 11,894.42, 17,841.64 and 4,102.62

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Solution

The fourth proportional to 11,894.42, 17,841.64 and 4,102.62 is: 6,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.42 : 17,841.64 = 4,102.62 : x
  2. Step 2: Convert to fraction form
    11,894.42/17,841.64 = 4,102.62/x
  3. Step 3: Cross multiply
    11,894.42x = 17,841.64 × 4,102.62
  4. Step 4: Simplify right side
    11,894.42x = 73,197,469.10
  5. Step 5: Solve for x
    x = 73,197,469.10/11,894.42
  6. Step 6: Final answer
    x = 6,153.93

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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.