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Finding the Fourth Proportional to 12,850.34, 17,734.38 and 7,813.62

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Solution

The fourth proportional to 12,850.34, 17,734.38 and 7,813.62 is: 10,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.34 : 17,734.38 = 7,813.62 : x
  2. Step 2: Convert to fraction form
    12,850.34/17,734.38 = 7,813.62/x
  3. Step 3: Cross multiply
    12,850.34x = 17,734.38 × 7,813.62
  4. Step 4: Simplify right side
    12,850.34x = 138,569,676.95
  5. Step 5: Solve for x
    x = 138,569,676.95/12,850.34
  6. Step 6: Final answer
    x = 10,783.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.