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Finding the Fourth Proportional to 8,279.40, 12,419.10 and 5,497.06

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Solution

The fourth proportional to 8,279.40, 12,419.10 and 5,497.06 is: 8,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.40 : 12,419.10 = 5,497.06 : x
  2. Step 2: Convert to fraction form
    8,279.40/12,419.10 = 5,497.06/x
  3. Step 3: Cross multiply
    8,279.40x = 12,419.10 × 5,497.06
  4. Step 4: Simplify right side
    8,279.40x = 68,268,537.85
  5. Step 5: Solve for x
    x = 68,268,537.85/8,279.40
  6. Step 6: Final answer
    x = 8,245.59

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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.