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Finding the Fourth Proportional to 6,107.16, 8,421.96 and 4,215.72

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Solution

The fourth proportional to 6,107.16, 8,421.96 and 4,215.72 is: 5,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.16 : 8,421.96 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    6,107.16/8,421.96 = 4,215.72/x
  3. Step 3: Cross multiply
    6,107.16x = 8,421.96 × 4,215.72
  4. Step 4: Simplify right side
    6,107.16x = 35,504,625.21
  5. Step 5: Solve for x
    x = 35,504,625.21/6,107.16
  6. Step 6: Final answer
    x = 5,813.61

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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.