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Finding the Fourth Proportional to 11,811.94, 16,300.44 and 6,506.75

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Solution

The fourth proportional to 11,811.94, 16,300.44 and 6,506.75 is: 8,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.94 : 16,300.44 = 6,506.75 : x
  2. Step 2: Convert to fraction form
    11,811.94/16,300.44 = 6,506.75/x
  3. Step 3: Cross multiply
    11,811.94x = 16,300.44 × 6,506.75
  4. Step 4: Simplify right side
    11,811.94x = 106,062,887.97
  5. Step 5: Solve for x
    x = 106,062,887.97/11,811.94
  6. Step 6: Final answer
    x = 8,979.29

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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.