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Finding the Fourth Proportional to 8,282.82, 12,426.03 and 4,125.09

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Solution

The fourth proportional to 8,282.82, 12,426.03 and 4,125.09 is: 6,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.82 : 12,426.03 = 4,125.09 : x
  2. Step 2: Convert to fraction form
    8,282.82/12,426.03 = 4,125.09/x
  3. Step 3: Cross multiply
    8,282.82x = 12,426.03 × 4,125.09
  4. Step 4: Simplify right side
    8,282.82x = 51,258,492.09
  5. Step 5: Solve for x
    x = 51,258,492.09/8,282.82
  6. Step 6: Final answer
    x = 6,188.53

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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.