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Finding the Fourth Proportional to 11,719.94, 16,173.48 and 6,414.80

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Solution

The fourth proportional to 11,719.94, 16,173.48 and 6,414.80 is: 8,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.94 : 16,173.48 = 6,414.80 : x
  2. Step 2: Convert to fraction form
    11,719.94/16,173.48 = 6,414.80/x
  3. Step 3: Cross multiply
    11,719.94x = 16,173.48 × 6,414.80
  4. Step 4: Simplify right side
    11,719.94x = 103,749,639.50
  5. Step 5: Solve for x
    x = 103,749,639.50/11,719.94
  6. Step 6: Final answer
    x = 8,852.40

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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.