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Finding the Fourth Proportional to 7,892.46, 11,827.40 and 5,796.02

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Solution

The fourth proportional to 7,892.46, 11,827.40 and 5,796.02 is: 8,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.46 : 11,827.40 = 5,796.02 : x
  2. Step 2: Convert to fraction form
    7,892.46/11,827.40 = 5,796.02/x
  3. Step 3: Cross multiply
    7,892.46x = 11,827.40 × 5,796.02
  4. Step 4: Simplify right side
    7,892.46x = 68,551,758.83
  5. Step 5: Solve for x
    x = 68,551,758.83/7,892.46
  6. Step 6: Final answer
    x = 8,685.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.