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Finding the Fourth Proportional to 11,116.30, 16,633.95 and 8,200.30

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Solution

The fourth proportional to 11,116.30, 16,633.95 and 8,200.30 is: 12,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.30 : 16,633.95 = 8,200.30 : x
  2. Step 2: Convert to fraction form
    11,116.30/16,633.95 = 8,200.30/x
  3. Step 3: Cross multiply
    11,116.30x = 16,633.95 × 8,200.30
  4. Step 4: Simplify right side
    11,116.30x = 136,403,380.19
  5. Step 5: Solve for x
    x = 136,403,380.19/11,116.30
  6. Step 6: Final answer
    x = 12,270.57

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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.