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Finding the Fourth Proportional to 11,719.92, 16,173.51 and 6,414.73

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Solution

The fourth proportional to 11,719.92, 16,173.51 and 6,414.73 is: 8,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.92 : 16,173.51 = 6,414.73 : x
  2. Step 2: Convert to fraction form
    11,719.92/16,173.51 = 6,414.73/x
  3. Step 3: Cross multiply
    11,719.92x = 16,173.51 × 6,414.73
  4. Step 4: Simplify right side
    11,719.92x = 103,748,699.80
  5. Step 5: Solve for x
    x = 103,748,699.80/11,719.92
  6. Step 6: Final answer
    x = 8,852.34

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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.