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Finding the Fourth Proportional to 7,891.96, 11,833.62 and 3,729.40

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Solution

The fourth proportional to 7,891.96, 11,833.62 and 3,729.40 is: 5,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.96 : 11,833.62 = 3,729.40 : x
  2. Step 2: Convert to fraction form
    7,891.96/11,833.62 = 3,729.40/x
  3. Step 3: Cross multiply
    7,891.96x = 11,833.62 × 3,729.40
  4. Step 4: Simplify right side
    7,891.96x = 44,132,302.43
  5. Step 5: Solve for x
    x = 44,132,302.43/7,891.96
  6. Step 6: Final answer
    x = 5,592.06

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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.