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Finding the Fourth Proportional to 11,226.75, 15,492.71 and 6,191.44

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Solution

The fourth proportional to 11,226.75, 15,492.71 and 6,191.44 is: 8,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.75 : 15,492.71 = 6,191.44 : x
  2. Step 2: Convert to fraction form
    11,226.75/15,492.71 = 6,191.44/x
  3. Step 3: Cross multiply
    11,226.75x = 15,492.71 × 6,191.44
  4. Step 4: Simplify right side
    11,226.75x = 95,922,091.46
  5. Step 5: Solve for x
    x = 95,922,091.46/11,226.75
  6. Step 6: Final answer
    x = 8,544.07

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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.