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Finding the Fourth Proportional to 12,372, 17,073.36 and 6,783

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Solution

The fourth proportional to 12,372, 17,073.36 and 6,783 is: 9,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372 : 17,073.36 = 6,783 : x
  2. Step 2: Convert to fraction form
    12,372/17,073.36 = 6,783/x
  3. Step 3: Cross multiply
    12,372x = 17,073.36 × 6,783
  4. Step 4: Simplify right side
    12,372x = 115,808,600.88
  5. Step 5: Solve for x
    x = 115,808,600.88/12,372
  6. Step 6: Final answer
    x = 9,360.54

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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.