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Finding the Fourth Proportional to 6,311.12, 8,709.26 and 3,658.46

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Solution

The fourth proportional to 6,311.12, 8,709.26 and 3,658.46 is: 5,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.12 : 8,709.26 = 3,658.46 : x
  2. Step 2: Convert to fraction form
    6,311.12/8,709.26 = 3,658.46/x
  3. Step 3: Cross multiply
    6,311.12x = 8,709.26 × 3,658.46
  4. Step 4: Simplify right side
    6,311.12x = 31,862,479.34
  5. Step 5: Solve for x
    x = 31,862,479.34/6,311.12
  6. Step 6: Final answer
    x = 5,048.63

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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.