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Finding the Fourth Proportional to 8,282.89, 12,420.08 and 2,438.74

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Solution

The fourth proportional to 8,282.89, 12,420.08 and 2,438.74 is: 3,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.89 : 12,420.08 = 2,438.74 : x
  2. Step 2: Convert to fraction form
    8,282.89/12,420.08 = 2,438.74/x
  3. Step 3: Cross multiply
    8,282.89x = 12,420.08 × 2,438.74
  4. Step 4: Simplify right side
    8,282.89x = 30,289,302.66
  5. Step 5: Solve for x
    x = 30,289,302.66/8,282.89
  6. Step 6: Final answer
    x = 3,656.85

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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.