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Finding the Fourth Proportional to 6,711.36, 10,065.78 and 2,551.20

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Solution

The fourth proportional to 6,711.36, 10,065.78 and 2,551.20 is: 3,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.36 : 10,065.78 = 2,551.20 : x
  2. Step 2: Convert to fraction form
    6,711.36/10,065.78 = 2,551.20/x
  3. Step 3: Cross multiply
    6,711.36x = 10,065.78 × 2,551.20
  4. Step 4: Simplify right side
    6,711.36x = 25,679,817.94
  5. Step 5: Solve for x
    x = 25,679,817.94/6,711.36
  6. Step 6: Final answer
    x = 3,826.32

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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.