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Finding the Fourth Proportional to 11,133.94, 16,700.31 and 2,813.86

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Solution

The fourth proportional to 11,133.94, 16,700.31 and 2,813.86 is: 4,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.94 : 16,700.31 = 2,813.86 : x
  2. Step 2: Convert to fraction form
    11,133.94/16,700.31 = 2,813.86/x
  3. Step 3: Cross multiply
    11,133.94x = 16,700.31 × 2,813.86
  4. Step 4: Simplify right side
    11,133.94x = 46,992,334.30
  5. Step 5: Solve for x
    x = 46,992,334.30/11,133.94
  6. Step 6: Final answer
    x = 4,220.64

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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.