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Finding the Fourth Proportional to 7,832.52, 11,747.16 and 2,902.05

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Solution

The fourth proportional to 7,832.52, 11,747.16 and 2,902.05 is: 4,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.52 : 11,747.16 = 2,902.05 : x
  2. Step 2: Convert to fraction form
    7,832.52/11,747.16 = 2,902.05/x
  3. Step 3: Cross multiply
    7,832.52x = 11,747.16 × 2,902.05
  4. Step 4: Simplify right side
    7,832.52x = 34,090,845.68
  5. Step 5: Solve for x
    x = 34,090,845.68/7,832.52
  6. Step 6: Final answer
    x = 4,352.47

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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.