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Finding the Fourth Proportional to 8,811, 13,219.83 and 5,696.94

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Solution

The fourth proportional to 8,811, 13,219.83 and 5,696.94 is: 8,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811 : 13,219.83 = 5,696.94 : x
  2. Step 2: Convert to fraction form
    8,811/13,219.83 = 5,696.94/x
  3. Step 3: Cross multiply
    8,811x = 13,219.83 × 5,696.94
  4. Step 4: Simplify right side
    8,811x = 75,312,578.32
  5. Step 5: Solve for x
    x = 75,312,578.32/8,811
  6. Step 6: Final answer
    x = 8,547.56

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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.