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Finding the Fourth Proportional to 11,612.14, 17,419.02 and 3,821.02

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Solution

The fourth proportional to 11,612.14, 17,419.02 and 3,821.02 is: 5,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.14 : 17,419.02 = 3,821.02 : x
  2. Step 2: Convert to fraction form
    11,612.14/17,419.02 = 3,821.02/x
  3. Step 3: Cross multiply
    11,612.14x = 17,419.02 × 3,821.02
  4. Step 4: Simplify right side
    11,612.14x = 66,558,423.80
  5. Step 5: Solve for x
    x = 66,558,423.80/11,612.14
  6. Step 6: Final answer
    x = 5,731.80

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Why These Related Problems?

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