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Finding the Fourth Proportional to 11,212, 16,821.68 and 3,420.84

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Solution

The fourth proportional to 11,212, 16,821.68 and 3,420.84 is: 5,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212 : 16,821.68 = 3,420.84 : x
  2. Step 2: Convert to fraction form
    11,212/16,821.68 = 3,420.84/x
  3. Step 3: Cross multiply
    11,212x = 16,821.68 × 3,420.84
  4. Step 4: Simplify right side
    11,212x = 57,544,275.81
  5. Step 5: Solve for x
    x = 57,544,275.81/11,212
  6. Step 6: Final answer
    x = 5,132.38

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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.