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Finding the Fourth Proportional to 10,003.44, 13,806 and 5,813.04

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Solution

The fourth proportional to 10,003.44, 13,806 and 5,813.04 is: 8,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.44 : 13,806 = 5,813.04 : x
  2. Step 2: Convert to fraction form
    10,003.44/13,806 = 5,813.04/x
  3. Step 3: Cross multiply
    10,003.44x = 13,806 × 5,813.04
  4. Step 4: Simplify right side
    10,003.44x = 80,254,830.24
  5. Step 5: Solve for x
    x = 80,254,830.24/10,003.44
  6. Step 6: Final answer
    x = 8,022.72

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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.