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Finding the Fourth Proportional to 6,714.36, 10,076.94 and 3,428.33

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Solution

The fourth proportional to 6,714.36, 10,076.94 and 3,428.33 is: 5,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.36 : 10,076.94 = 3,428.33 : x
  2. Step 2: Convert to fraction form
    6,714.36/10,076.94 = 3,428.33/x
  3. Step 3: Cross multiply
    6,714.36x = 10,076.94 × 3,428.33
  4. Step 4: Simplify right side
    6,714.36x = 34,547,025.33
  5. Step 5: Solve for x
    x = 34,547,025.33/6,714.36
  6. Step 6: Final answer
    x = 5,145.24

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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.