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Finding the Fourth Proportional to 6,142.74, 8,471.77 and 5,190.32

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Solution

The fourth proportional to 6,142.74, 8,471.77 and 5,190.32 is: 7,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.74 : 8,471.77 = 5,190.32 : x
  2. Step 2: Convert to fraction form
    6,142.74/8,471.77 = 5,190.32/x
  3. Step 3: Cross multiply
    6,142.74x = 8,471.77 × 5,190.32
  4. Step 4: Simplify right side
    6,142.74x = 43,971,128.96
  5. Step 5: Solve for x
    x = 43,971,128.96/6,142.74
  6. Step 6: Final answer
    x = 7,158.23

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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.