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Finding the Fourth Proportional to 8,207.64, 11,325.96 and 6,443.46

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Solution

The fourth proportional to 8,207.64, 11,325.96 and 6,443.46 is: 8,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.64 : 11,325.96 = 6,443.46 : x
  2. Step 2: Convert to fraction form
    8,207.64/11,325.96 = 6,443.46/x
  3. Step 3: Cross multiply
    8,207.64x = 11,325.96 × 6,443.46
  4. Step 4: Simplify right side
    8,207.64x = 72,978,370.22
  5. Step 5: Solve for x
    x = 72,978,370.22/8,207.64
  6. Step 6: Final answer
    x = 8,891.52

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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.