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Finding the Fourth Proportional to 8,113.64, 11,194.08 and 6,618.98

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Solution

The fourth proportional to 8,113.64, 11,194.08 and 6,618.98 is: 9,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.64 : 11,194.08 = 6,618.98 : x
  2. Step 2: Convert to fraction form
    8,113.64/11,194.08 = 6,618.98/x
  3. Step 3: Cross multiply
    8,113.64x = 11,194.08 × 6,618.98
  4. Step 4: Simplify right side
    8,113.64x = 74,093,391.64
  5. Step 5: Solve for x
    x = 74,093,391.64/8,113.64
  6. Step 6: Final answer
    x = 9,131.95

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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.