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Finding the Fourth Proportional to 6,853.96, 10,279.59 and 4,381.30

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Solution

The fourth proportional to 6,853.96, 10,279.59 and 4,381.30 is: 6,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.96 : 10,279.59 = 4,381.30 : x
  2. Step 2: Convert to fraction form
    6,853.96/10,279.59 = 4,381.30/x
  3. Step 3: Cross multiply
    6,853.96x = 10,279.59 × 4,381.30
  4. Step 4: Simplify right side
    6,853.96x = 45,037,967.67
  5. Step 5: Solve for x
    x = 45,037,967.67/6,853.96
  6. Step 6: Final answer
    x = 6,571.09

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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.