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Finding the Fourth Proportional to 6,085.22, 8,388.78 and 5,242.28

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Solution

The fourth proportional to 6,085.22, 8,388.78 and 5,242.28 is: 7,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.22 : 8,388.78 = 5,242.28 : x
  2. Step 2: Convert to fraction form
    6,085.22/8,388.78 = 5,242.28/x
  3. Step 3: Cross multiply
    6,085.22x = 8,388.78 × 5,242.28
  4. Step 4: Simplify right side
    6,085.22x = 43,976,333.62
  5. Step 5: Solve for x
    x = 43,976,333.62/6,085.22
  6. Step 6: Final answer
    x = 7,226.75

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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.