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Finding the Fourth Proportional to 8,206.64, 12,257.60 and 7,425.44

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Solution

The fourth proportional to 8,206.64, 12,257.60 and 7,425.44 is: 11,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.64 : 12,257.60 = 7,425.44 : x
  2. Step 2: Convert to fraction form
    8,206.64/12,257.60 = 7,425.44/x
  3. Step 3: Cross multiply
    8,206.64x = 12,257.60 × 7,425.44
  4. Step 4: Simplify right side
    8,206.64x = 91,018,073.34
  5. Step 5: Solve for x
    x = 91,018,073.34/8,206.64
  6. Step 6: Final answer
    x = 11,090.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.