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Finding the Fourth Proportional to 6,311.36, 8,707.92 and 3,658.24

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Solution

The fourth proportional to 6,311.36, 8,707.92 and 3,658.24 is: 5,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.36 : 8,707.92 = 3,658.24 : x
  2. Step 2: Convert to fraction form
    6,311.36/8,707.92 = 3,658.24/x
  3. Step 3: Cross multiply
    6,311.36x = 8,707.92 × 3,658.24
  4. Step 4: Simplify right side
    6,311.36x = 31,855,661.26
  5. Step 5: Solve for x
    x = 31,855,661.26/6,311.36
  6. Step 6: Final answer
    x = 5,047.35

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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.