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Finding the Fourth Proportional to 7,816, 10,786.08 and 4,279.24

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Solution

The fourth proportional to 7,816, 10,786.08 and 4,279.24 is: 5,905.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 10,786.08 = 4,279.24 : x
  2. Step 2: Convert to fraction form
    7,816/10,786.08 = 4,279.24/x
  3. Step 3: Cross multiply
    7,816x = 10,786.08 × 4,279.24
  4. Step 4: Simplify right side
    7,816x = 46,156,224.98
  5. Step 5: Solve for x
    x = 46,156,224.98/7,816
  6. Step 6: Final answer
    x = 5,905.35

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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.