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Finding the Fourth Proportional to 7,833.80, 11,747.80 and 5,492.61

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Solution

The fourth proportional to 7,833.80, 11,747.80 and 5,492.61 is: 8,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.80 : 11,747.80 = 5,492.61 : x
  2. Step 2: Convert to fraction form
    7,833.80/11,747.80 = 5,492.61/x
  3. Step 3: Cross multiply
    7,833.80x = 11,747.80 × 5,492.61
  4. Step 4: Simplify right side
    7,833.80x = 64,526,070.03
  5. Step 5: Solve for x
    x = 64,526,070.03/7,833.80
  6. Step 6: Final answer
    x = 8,236.88

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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.