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Finding the Fourth Proportional to 11,116.14, 16,671.70 and 3,218.64

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Solution

The fourth proportional to 11,116.14, 16,671.70 and 3,218.64 is: 4,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.14 : 16,671.70 = 3,218.64 : x
  2. Step 2: Convert to fraction form
    11,116.14/16,671.70 = 3,218.64/x
  3. Step 3: Cross multiply
    11,116.14x = 16,671.70 × 3,218.64
  4. Step 4: Simplify right side
    11,116.14x = 53,660,200.49
  5. Step 5: Solve for x
    x = 53,660,200.49/11,116.14
  6. Step 6: Final answer
    x = 4,827.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.