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Finding the Fourth Proportional to 11,099.45, 16,649.33 and 6,200.28

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Solution

The fourth proportional to 11,099.45, 16,649.33 and 6,200.28 is: 9,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.45 : 16,649.33 = 6,200.28 : x
  2. Step 2: Convert to fraction form
    11,099.45/16,649.33 = 6,200.28/x
  3. Step 3: Cross multiply
    11,099.45x = 16,649.33 × 6,200.28
  4. Step 4: Simplify right side
    11,099.45x = 103,230,476.81
  5. Step 5: Solve for x
    x = 103,230,476.81/11,099.45
  6. Step 6: Final answer
    x = 9,300.50

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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.