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Finding the Fourth Proportional to 11,200.69, 16,797.60 and 3,803.50

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Solution

The fourth proportional to 11,200.69, 16,797.60 and 3,803.50 is: 5,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.69 : 16,797.60 = 3,803.50 : x
  2. Step 2: Convert to fraction form
    11,200.69/16,797.60 = 3,803.50/x
  3. Step 3: Cross multiply
    11,200.69x = 16,797.60 × 3,803.50
  4. Step 4: Simplify right side
    11,200.69x = 63,889,629.61
  5. Step 5: Solve for x
    x = 63,889,629.61/11,200.69
  6. Step 6: Final answer
    x = 5,704.08

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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.