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Finding the Fourth Proportional to 6,782.94, 10,176.03 and 2,832

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Solution

The fourth proportional to 6,782.94, 10,176.03 and 2,832 is: 4,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.94 : 10,176.03 = 2,832 : x
  2. Step 2: Convert to fraction form
    6,782.94/10,176.03 = 2,832/x
  3. Step 3: Cross multiply
    6,782.94x = 10,176.03 × 2,832
  4. Step 4: Simplify right side
    6,782.94x = 28,818,516.96
  5. Step 5: Solve for x
    x = 28,818,516.96/6,782.94
  6. Step 6: Final answer
    x = 4,248.68

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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.