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Finding the Fourth Proportional to 8,436.30, 12,654.42 and 2,280.30

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Solution

The fourth proportional to 8,436.30, 12,654.42 and 2,280.30 is: 3,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.30 : 12,654.42 = 2,280.30 : x
  2. Step 2: Convert to fraction form
    8,436.30/12,654.42 = 2,280.30/x
  3. Step 3: Cross multiply
    8,436.30x = 12,654.42 × 2,280.30
  4. Step 4: Simplify right side
    8,436.30x = 28,855,873.93
  5. Step 5: Solve for x
    x = 28,855,873.93/8,436.30
  6. Step 6: Final answer
    x = 3,420.44

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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.