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Finding the Fourth Proportional to 11,812.83, 17,718.16 and 3,604.83

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Solution

The fourth proportional to 11,812.83, 17,718.16 and 3,604.83 is: 5,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.83 : 17,718.16 = 3,604.83 : x
  2. Step 2: Convert to fraction form
    11,812.83/17,718.16 = 3,604.83/x
  3. Step 3: Cross multiply
    11,812.83x = 17,718.16 × 3,604.83
  4. Step 4: Simplify right side
    11,812.83x = 63,870,954.71
  5. Step 5: Solve for x
    x = 63,870,954.71/11,812.83
  6. Step 6: Final answer
    x = 5,406.91

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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.