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Finding the Fourth Proportional to 8,271.99, 11,416.41 and 6,279.12

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Solution

The fourth proportional to 8,271.99, 11,416.41 and 6,279.12 is: 8,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.99 : 11,416.41 = 6,279.12 : x
  2. Step 2: Convert to fraction form
    8,271.99/11,416.41 = 6,279.12/x
  3. Step 3: Cross multiply
    8,271.99x = 11,416.41 × 6,279.12
  4. Step 4: Simplify right side
    8,271.99x = 71,685,008.36
  5. Step 5: Solve for x
    x = 71,685,008.36/8,271.99
  6. Step 6: Final answer
    x = 8,665.99

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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.