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Finding the Fourth Proportional to 11,719.53, 16,172.91 and 6,414.39

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Solution

The fourth proportional to 11,719.53, 16,172.91 and 6,414.39 is: 8,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.53 : 16,172.91 = 6,414.39 : x
  2. Step 2: Convert to fraction form
    11,719.53/16,172.91 = 6,414.39/x
  3. Step 3: Cross multiply
    11,719.53x = 16,172.91 × 6,414.39
  4. Step 4: Simplify right side
    11,719.53x = 103,739,352.17
  5. Step 5: Solve for x
    x = 103,739,352.17/11,719.53
  6. Step 6: Final answer
    x = 8,851.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.