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Finding the Fourth Proportional to 11,098.84, 16,649.34 and 3,201.80

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Solution

The fourth proportional to 11,098.84, 16,649.34 and 3,201.80 is: 4,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.84 : 16,649.34 = 3,201.80 : x
  2. Step 2: Convert to fraction form
    11,098.84/16,649.34 = 3,201.80/x
  3. Step 3: Cross multiply
    11,098.84x = 16,649.34 × 3,201.80
  4. Step 4: Simplify right side
    11,098.84x = 53,307,856.81
  5. Step 5: Solve for x
    x = 53,307,856.81/11,098.84
  6. Step 6: Final answer
    x = 4,803.01

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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.