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Finding the Fourth Proportional to 11,212.84, 16,821.06 and 3,421

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Solution

The fourth proportional to 11,212.84, 16,821.06 and 3,421 is: 5,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.84 : 16,821.06 = 3,421 : x
  2. Step 2: Convert to fraction form
    11,212.84/16,821.06 = 3,421/x
  3. Step 3: Cross multiply
    11,212.84x = 16,821.06 × 3,421
  4. Step 4: Simplify right side
    11,212.84x = 57,544,846.26
  5. Step 5: Solve for x
    x = 57,544,846.26/11,212.84
  6. Step 6: Final answer
    x = 5,132.05

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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.