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Finding the Fourth Proportional to 12,407, 18,604.61 and 4,811.83

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Solution

The fourth proportional to 12,407, 18,604.61 and 4,811.83 is: 7,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407 : 18,604.61 = 4,811.83 : x
  2. Step 2: Convert to fraction form
    12,407/18,604.61 = 4,811.83/x
  3. Step 3: Cross multiply
    12,407x = 18,604.61 × 4,811.83
  4. Step 4: Simplify right side
    12,407x = 89,522,220.54
  5. Step 5: Solve for x
    x = 89,522,220.54/12,407
  6. Step 6: Final answer
    x = 7,215.46

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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.