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Finding the Fourth Proportional to 7,722.56, 11,583.86 and 1,879.18

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Solution

The fourth proportional to 7,722.56, 11,583.86 and 1,879.18 is: 2,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.56 : 11,583.86 = 1,879.18 : x
  2. Step 2: Convert to fraction form
    7,722.56/11,583.86 = 1,879.18/x
  3. Step 3: Cross multiply
    7,722.56x = 11,583.86 × 1,879.18
  4. Step 4: Simplify right side
    7,722.56x = 21,768,119.68
  5. Step 5: Solve for x
    x = 21,768,119.68/7,722.56
  6. Step 6: Final answer
    x = 2,818.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.