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Finding the Fourth Proportional to 11,198.71, 16,803.74 and 4,629.61

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Solution

The fourth proportional to 11,198.71, 16,803.74 and 4,629.61 is: 6,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.71 : 16,803.74 = 4,629.61 : x
  2. Step 2: Convert to fraction form
    11,198.71/16,803.74 = 4,629.61/x
  3. Step 3: Cross multiply
    11,198.71x = 16,803.74 × 4,629.61
  4. Step 4: Simplify right side
    11,198.71x = 77,794,762.74
  5. Step 5: Solve for x
    x = 77,794,762.74/11,198.71
  6. Step 6: Final answer
    x = 6,946.76

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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.