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Finding the Fourth Proportional to 6,202.62, 8,562.51 and 4,213.26

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Solution

The fourth proportional to 6,202.62, 8,562.51 and 4,213.26 is: 5,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.62 : 8,562.51 = 4,213.26 : x
  2. Step 2: Convert to fraction form
    6,202.62/8,562.51 = 4,213.26/x
  3. Step 3: Cross multiply
    6,202.62x = 8,562.51 × 4,213.26
  4. Step 4: Simplify right side
    6,202.62x = 36,076,080.88
  5. Step 5: Solve for x
    x = 36,076,080.88/6,202.62
  6. Step 6: Final answer
    x = 5,816.26

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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.