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Finding the Fourth Proportional to 12,352.34, 17,046.06 and 6,763.34

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Solution

The fourth proportional to 12,352.34, 17,046.06 and 6,763.34 is: 9,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.34 : 17,046.06 = 6,763.34 : x
  2. Step 2: Convert to fraction form
    12,352.34/17,046.06 = 6,763.34/x
  3. Step 3: Cross multiply
    12,352.34x = 17,046.06 × 6,763.34
  4. Step 4: Simplify right side
    12,352.34x = 115,288,299.44
  5. Step 5: Solve for x
    x = 115,288,299.44/12,352.34
  6. Step 6: Final answer
    x = 9,333.32

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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.