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Finding the Fourth Proportional to 11,181.66, 16,768.80 and 4,941.42

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Solution

The fourth proportional to 11,181.66, 16,768.80 and 4,941.42 is: 7,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.66 : 16,768.80 = 4,941.42 : x
  2. Step 2: Convert to fraction form
    11,181.66/16,768.80 = 4,941.42/x
  3. Step 3: Cross multiply
    11,181.66x = 16,768.80 × 4,941.42
  4. Step 4: Simplify right side
    11,181.66x = 82,861,683.70
  5. Step 5: Solve for x
    x = 82,861,683.70/11,181.66
  6. Step 6: Final answer
    x = 7,410.50

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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.