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Finding the Fourth Proportional to 6,827.84, 10,232.16 and 3,901.76

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Solution

The fourth proportional to 6,827.84, 10,232.16 and 3,901.76 is: 5,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.84 : 10,232.16 = 3,901.76 : x
  2. Step 2: Convert to fraction form
    6,827.84/10,232.16 = 3,901.76/x
  3. Step 3: Cross multiply
    6,827.84x = 10,232.16 × 3,901.76
  4. Step 4: Simplify right side
    6,827.84x = 39,923,432.60
  5. Step 5: Solve for x
    x = 39,923,432.60/6,827.84
  6. Step 6: Final answer
    x = 5,847.15

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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.