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Finding the Fourth Proportional to 11,202.70, 16,804.97 and 3,411.52

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Solution

The fourth proportional to 11,202.70, 16,804.97 and 3,411.52 is: 5,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.70 : 16,804.97 = 3,411.52 : x
  2. Step 2: Convert to fraction form
    11,202.70/16,804.97 = 3,411.52/x
  3. Step 3: Cross multiply
    11,202.70x = 16,804.97 × 3,411.52
  4. Step 4: Simplify right side
    11,202.70x = 57,330,491.25
  5. Step 5: Solve for x
    x = 57,330,491.25/11,202.70
  6. Step 6: Final answer
    x = 5,117.56

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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.