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Finding the Fourth Proportional to 7,714.20, 11,568.60 and 4,015.20

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Solution

The fourth proportional to 7,714.20, 11,568.60 and 4,015.20 is: 6,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.20 : 11,568.60 = 4,015.20 : x
  2. Step 2: Convert to fraction form
    7,714.20/11,568.60 = 4,015.20/x
  3. Step 3: Cross multiply
    7,714.20x = 11,568.60 × 4,015.20
  4. Step 4: Simplify right side
    7,714.20x = 46,450,242.72
  5. Step 5: Solve for x
    x = 46,450,242.72/7,714.20
  6. Step 6: Final answer
    x = 6,021.39

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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.