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Finding the Fourth Proportional to 11,274.66, 16,913.16 and 3,878.24

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Solution

The fourth proportional to 11,274.66, 16,913.16 and 3,878.24 is: 5,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.66 : 16,913.16 = 3,878.24 : x
  2. Step 2: Convert to fraction form
    11,274.66/16,913.16 = 3,878.24/x
  3. Step 3: Cross multiply
    11,274.66x = 16,913.16 × 3,878.24
  4. Step 4: Simplify right side
    11,274.66x = 65,593,209.07
  5. Step 5: Solve for x
    x = 65,593,209.07/11,274.66
  6. Step 6: Final answer
    x = 5,817.75

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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.