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Finding the Fourth Proportional to 7,314.80, 10,972.20 and 3,218.80

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Solution

The fourth proportional to 7,314.80, 10,972.20 and 3,218.80 is: 4,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.80 : 10,972.20 = 3,218.80 : x
  2. Step 2: Convert to fraction form
    7,314.80/10,972.20 = 3,218.80/x
  3. Step 3: Cross multiply
    7,314.80x = 10,972.20 × 3,218.80
  4. Step 4: Simplify right side
    7,314.80x = 35,317,317.36
  5. Step 5: Solve for x
    x = 35,317,317.36/7,314.80
  6. Step 6: Final answer
    x = 4,828.20

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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.