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Finding the Fourth Proportional to 11,211.99, 16,685.61 and 10,838.31

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Solution

The fourth proportional to 11,211.99, 16,685.61 and 10,838.31 is: 16,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.99 : 16,685.61 = 10,838.31 : x
  2. Step 2: Convert to fraction form
    11,211.99/16,685.61 = 10,838.31/x
  3. Step 3: Cross multiply
    11,211.99x = 16,685.61 × 10,838.31
  4. Step 4: Simplify right side
    11,211.99x = 180,843,813.72
  5. Step 5: Solve for x
    x = 180,843,813.72/11,211.99
  6. Step 6: Final answer
    x = 16,129.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.