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Finding the Fourth Proportional to 6,173.57, 8,462.36 and 6,090.50

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Solution

The fourth proportional to 6,173.57, 8,462.36 and 6,090.50 is: 8,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.57 : 8,462.36 = 6,090.50 : x
  2. Step 2: Convert to fraction form
    6,173.57/8,462.36 = 6,090.50/x
  3. Step 3: Cross multiply
    6,173.57x = 8,462.36 × 6,090.50
  4. Step 4: Simplify right side
    6,173.57x = 51,539,976.49
  5. Step 5: Solve for x
    x = 51,539,976.49/6,173.57
  6. Step 6: Final answer
    x = 8,348.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.