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Finding the Fourth Proportional to 8,279.34, 12,419.20 and 3,084.18

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Solution

The fourth proportional to 8,279.34, 12,419.20 and 3,084.18 is: 4,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.34 : 12,419.20 = 3,084.18 : x
  2. Step 2: Convert to fraction form
    8,279.34/12,419.20 = 3,084.18/x
  3. Step 3: Cross multiply
    8,279.34x = 12,419.20 × 3,084.18
  4. Step 4: Simplify right side
    8,279.34x = 38,303,048.26
  5. Step 5: Solve for x
    x = 38,303,048.26/8,279.34
  6. Step 6: Final answer
    x = 4,626.34

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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.