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Finding the Fourth Proportional to 12,861.65, 19,279.23 and 5,846.54

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Solution

The fourth proportional to 12,861.65, 19,279.23 and 5,846.54 is: 8,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.65 : 19,279.23 = 5,846.54 : x
  2. Step 2: Convert to fraction form
    12,861.65/19,279.23 = 5,846.54/x
  3. Step 3: Cross multiply
    12,861.65x = 19,279.23 × 5,846.54
  4. Step 4: Simplify right side
    12,861.65x = 112,716,789.36
  5. Step 5: Solve for x
    x = 112,716,789.36/12,861.65
  6. Step 6: Final answer
    x = 8,763.79

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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.