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Finding the Fourth Proportional to 8,438.63, 12,657.96 and 2,282.63

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Solution

The fourth proportional to 8,438.63, 12,657.96 and 2,282.63 is: 3,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.63 : 12,657.96 = 2,282.63 : x
  2. Step 2: Convert to fraction form
    8,438.63/12,657.96 = 2,282.63/x
  3. Step 3: Cross multiply
    8,438.63x = 12,657.96 × 2,282.63
  4. Step 4: Simplify right side
    8,438.63x = 28,893,375.95
  5. Step 5: Solve for x
    x = 28,893,375.95/8,438.63
  6. Step 6: Final answer
    x = 3,423.94

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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.