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Finding the Fourth Proportional to 6,311.74, 8,710.60 and 3,517.24

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Solution

The fourth proportional to 6,311.74, 8,710.60 and 3,517.24 is: 4,854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.74 : 8,710.60 = 3,517.24 : x
  2. Step 2: Convert to fraction form
    6,311.74/8,710.60 = 3,517.24/x
  3. Step 3: Cross multiply
    6,311.74x = 8,710.60 × 3,517.24
  4. Step 4: Simplify right side
    6,311.74x = 30,637,270.74
  5. Step 5: Solve for x
    x = 30,637,270.74/6,311.74
  6. Step 6: Final answer
    x = 4,854.01

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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.