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Finding the Fourth Proportional to 8,189.02, 11,299.12 and 5,203.77

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Solution

The fourth proportional to 8,189.02, 11,299.12 and 5,203.77 is: 7,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.02 : 11,299.12 = 5,203.77 : x
  2. Step 2: Convert to fraction form
    8,189.02/11,299.12 = 5,203.77/x
  3. Step 3: Cross multiply
    8,189.02x = 11,299.12 × 5,203.77
  4. Step 4: Simplify right side
    8,189.02x = 58,798,012.72
  5. Step 5: Solve for x
    x = 58,798,012.72/8,189.02
  6. Step 6: Final answer
    x = 7,180.10

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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.