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Finding the Fourth Proportional to 12,384.12, 17,090.38 and 7,079.43

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Solution

The fourth proportional to 12,384.12, 17,090.38 and 7,079.43 is: 9,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.12 : 17,090.38 = 7,079.43 : x
  2. Step 2: Convert to fraction form
    12,384.12/17,090.38 = 7,079.43/x
  3. Step 3: Cross multiply
    12,384.12x = 17,090.38 × 7,079.43
  4. Step 4: Simplify right side
    12,384.12x = 120,990,113.49
  5. Step 5: Solve for x
    x = 120,990,113.49/12,384.12
  6. Step 6: Final answer
    x = 9,769.78

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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.