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Finding the Fourth Proportional to 11,754.18, 17,627.75 and 6,204.46

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Solution

The fourth proportional to 11,754.18, 17,627.75 and 6,204.46 is: 9,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.18 : 17,627.75 = 6,204.46 : x
  2. Step 2: Convert to fraction form
    11,754.18/17,627.75 = 6,204.46/x
  3. Step 3: Cross multiply
    11,754.18x = 17,627.75 × 6,204.46
  4. Step 4: Simplify right side
    11,754.18x = 109,370,669.77
  5. Step 5: Solve for x
    x = 109,370,669.77/11,754.18
  6. Step 6: Final answer
    x = 9,304.83

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