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Finding the Fourth Proportional to 12,383.72, 17,085.37 and 7,074.77

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Solution

The fourth proportional to 12,383.72, 17,085.37 and 7,074.77 is: 9,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.72 : 17,085.37 = 7,074.77 : x
  2. Step 2: Convert to fraction form
    12,383.72/17,085.37 = 7,074.77/x
  3. Step 3: Cross multiply
    12,383.72x = 17,085.37 × 7,074.77
  4. Step 4: Simplify right side
    12,383.72x = 120,875,063.11
  5. Step 5: Solve for x
    x = 120,875,063.11/12,383.72
  6. Step 6: Final answer
    x = 9,760.80

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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.