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Finding the Fourth Proportional to 6,809.24, 10,213.65 and 1,879.17

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Solution

The fourth proportional to 6,809.24, 10,213.65 and 1,879.17 is: 2,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.24 : 10,213.65 = 1,879.17 : x
  2. Step 2: Convert to fraction form
    6,809.24/10,213.65 = 1,879.17/x
  3. Step 3: Cross multiply
    6,809.24x = 10,213.65 × 1,879.17
  4. Step 4: Simplify right side
    6,809.24x = 19,193,184.67
  5. Step 5: Solve for x
    x = 19,193,184.67/6,809.24
  6. Step 6: Final answer
    x = 2,818.70

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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.