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Finding the Fourth Proportional to 8,119.92, 11,205.84 and 4,583.16

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Solution

The fourth proportional to 8,119.92, 11,205.84 and 4,583.16 is: 6,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.92 : 11,205.84 = 4,583.16 : x
  2. Step 2: Convert to fraction form
    8,119.92/11,205.84 = 4,583.16/x
  3. Step 3: Cross multiply
    8,119.92x = 11,205.84 × 4,583.16
  4. Step 4: Simplify right side
    8,119.92x = 51,358,157.65
  5. Step 5: Solve for x
    x = 51,358,157.65/8,119.92
  6. Step 6: Final answer
    x = 6,324.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.