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Finding the Fourth Proportional to 11,099.66, 16,649.82 and 4,856.45

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Solution

The fourth proportional to 11,099.66, 16,649.82 and 4,856.45 is: 7,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.66 : 16,649.82 = 4,856.45 : x
  2. Step 2: Convert to fraction form
    11,099.66/16,649.82 = 4,856.45/x
  3. Step 3: Cross multiply
    11,099.66x = 16,649.82 × 4,856.45
  4. Step 4: Simplify right side
    11,099.66x = 80,858,935.09
  5. Step 5: Solve for x
    x = 80,858,935.09/11,099.66
  6. Step 6: Final answer
    x = 7,284.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.