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Finding the Fourth Proportional to 7,832.88, 11,747.52 and 3,615.12

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Solution

The fourth proportional to 7,832.88, 11,747.52 and 3,615.12 is: 5,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.88 : 11,747.52 = 3,615.12 : x
  2. Step 2: Convert to fraction form
    7,832.88/11,747.52 = 3,615.12/x
  3. Step 3: Cross multiply
    7,832.88x = 11,747.52 × 3,615.12
  4. Step 4: Simplify right side
    7,832.88x = 42,468,694.50
  5. Step 5: Solve for x
    x = 42,468,694.50/7,832.88
  6. Step 6: Final answer
    x = 5,421.85

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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.