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Finding the Fourth Proportional to 8,180.64, 11,292.54 and 5,198.13

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Solution

The fourth proportional to 8,180.64, 11,292.54 and 5,198.13 is: 7,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.64 : 11,292.54 = 5,198.13 : x
  2. Step 2: Convert to fraction form
    8,180.64/11,292.54 = 5,198.13/x
  3. Step 3: Cross multiply
    8,180.64x = 11,292.54 × 5,198.13
  4. Step 4: Simplify right side
    8,180.64x = 58,700,090.95
  5. Step 5: Solve for x
    x = 58,700,090.95/8,180.64
  6. Step 6: Final answer
    x = 7,175.49

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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.