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Finding the Fourth Proportional to 10,893.86, 16,340.38 and 3,102.66

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Solution

The fourth proportional to 10,893.86, 16,340.38 and 3,102.66 is: 4,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.86 : 16,340.38 = 3,102.66 : x
  2. Step 2: Convert to fraction form
    10,893.86/16,340.38 = 3,102.66/x
  3. Step 3: Cross multiply
    10,893.86x = 16,340.38 × 3,102.66
  4. Step 4: Simplify right side
    10,893.86x = 50,698,643.41
  5. Step 5: Solve for x
    x = 50,698,643.41/10,893.86
  6. Step 6: Final answer
    x = 4,653.87

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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.