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Finding the Fourth Proportional to 11,143.50, 16,703.99 and 6,986.42

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Solution

The fourth proportional to 11,143.50, 16,703.99 and 6,986.42 is: 10,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.50 : 16,703.99 = 6,986.42 : x
  2. Step 2: Convert to fraction form
    11,143.50/16,703.99 = 6,986.42/x
  3. Step 3: Cross multiply
    11,143.50x = 16,703.99 × 6,986.42
  4. Step 4: Simplify right side
    11,143.50x = 116,701,122.84
  5. Step 5: Solve for x
    x = 116,701,122.84/11,143.50
  6. Step 6: Final answer
    x = 10,472.58

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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.