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Finding the Fourth Proportional to 6,517.80, 8,991.74 and 4,361.76

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Solution

The fourth proportional to 6,517.80, 8,991.74 and 4,361.76 is: 6,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.80 : 8,991.74 = 4,361.76 : x
  2. Step 2: Convert to fraction form
    6,517.80/8,991.74 = 4,361.76/x
  3. Step 3: Cross multiply
    6,517.80x = 8,991.74 × 4,361.76
  4. Step 4: Simplify right side
    6,517.80x = 39,219,811.86
  5. Step 5: Solve for x
    x = 39,219,811.86/6,517.80
  6. Step 6: Final answer
    x = 6,017.34

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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.