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Finding the Fourth Proportional to 11,754.18, 17,619.12 and 6,204.06

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Solution

The fourth proportional to 11,754.18, 17,619.12 and 6,204.06 is: 9,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.18 : 17,619.12 = 6,204.06 : x
  2. Step 2: Convert to fraction form
    11,754.18/17,619.12 = 6,204.06/x
  3. Step 3: Cross multiply
    11,754.18x = 17,619.12 × 6,204.06
  4. Step 4: Simplify right side
    11,754.18x = 109,310,077.63
  5. Step 5: Solve for x
    x = 109,310,077.63/11,754.18
  6. Step 6: Final answer
    x = 9,299.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.