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Finding the Fourth Proportional to 6,827.80, 10,232.08 and 5,434.94

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Solution

The fourth proportional to 6,827.80, 10,232.08 and 5,434.94 is: 8,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.80 : 10,232.08 = 5,434.94 : x
  2. Step 2: Convert to fraction form
    6,827.80/10,232.08 = 5,434.94/x
  3. Step 3: Cross multiply
    6,827.80x = 10,232.08 × 5,434.94
  4. Step 4: Simplify right side
    6,827.80x = 55,610,740.88
  5. Step 5: Solve for x
    x = 55,610,740.88/6,827.80
  6. Step 6: Final answer
    x = 8,144.75

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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.