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Finding the Fourth Proportional to 10,279.64, 14,185.94 and 5,563.96

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Solution

The fourth proportional to 10,279.64, 14,185.94 and 5,563.96 is: 7,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.64 : 14,185.94 = 5,563.96 : x
  2. Step 2: Convert to fraction form
    10,279.64/14,185.94 = 5,563.96/x
  3. Step 3: Cross multiply
    10,279.64x = 14,185.94 × 5,563.96
  4. Step 4: Simplify right side
    10,279.64x = 78,929,939.44
  5. Step 5: Solve for x
    x = 78,929,939.44/10,279.64
  6. Step 6: Final answer
    x = 7,678.28

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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.