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Finding the Fourth Proportional to 6,855.36, 10,257.12 and 6,440.64

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Solution

The fourth proportional to 6,855.36, 10,257.12 and 6,440.64 is: 9,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.36 : 10,257.12 = 6,440.64 : x
  2. Step 2: Convert to fraction form
    6,855.36/10,257.12 = 6,440.64/x
  3. Step 3: Cross multiply
    6,855.36x = 10,257.12 × 6,440.64
  4. Step 4: Simplify right side
    6,855.36x = 66,062,417.36
  5. Step 5: Solve for x
    x = 66,062,417.36/6,855.36
  6. Step 6: Final answer
    x = 9,636.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.