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Finding the Fourth Proportional to 8,279.10, 12,412.98 and 3,897

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Solution

The fourth proportional to 8,279.10, 12,412.98 and 3,897 is: 5,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.10 : 12,412.98 = 3,897 : x
  2. Step 2: Convert to fraction form
    8,279.10/12,412.98 = 3,897/x
  3. Step 3: Cross multiply
    8,279.10x = 12,412.98 × 3,897
  4. Step 4: Simplify right side
    8,279.10x = 48,373,383.06
  5. Step 5: Solve for x
    x = 48,373,383.06/8,279.10
  6. Step 6: Final answer
    x = 5,842.83

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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.