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Finding the Fourth Proportional to 12,406.49, 18,605.79 and 4,084.64

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Solution

The fourth proportional to 12,406.49, 18,605.79 and 4,084.64 is: 6,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.49 : 18,605.79 = 4,084.64 : x
  2. Step 2: Convert to fraction form
    12,406.49/18,605.79 = 4,084.64/x
  3. Step 3: Cross multiply
    12,406.49x = 18,605.79 × 4,084.64
  4. Step 4: Simplify right side
    12,406.49x = 75,997,861.04
  5. Step 5: Solve for x
    x = 75,997,861.04/12,406.49
  6. Step 6: Final answer
    x = 6,125.66

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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.