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Finding the Fourth Proportional to 11,719.57, 16,172.95 and 6,414.37

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Solution

The fourth proportional to 11,719.57, 16,172.95 and 6,414.37 is: 8,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.57 : 16,172.95 = 6,414.37 : x
  2. Step 2: Convert to fraction form
    11,719.57/16,172.95 = 6,414.37/x
  3. Step 3: Cross multiply
    11,719.57x = 16,172.95 × 6,414.37
  4. Step 4: Simplify right side
    11,719.57x = 103,739,285.29
  5. Step 5: Solve for x
    x = 103,739,285.29/11,719.57
  6. Step 6: Final answer
    x = 8,851.80

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