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Finding the Fourth Proportional to 11,752.80, 17,634.46 and 6,417.73

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Solution

The fourth proportional to 11,752.80, 17,634.46 and 6,417.73 is: 9,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.80 : 17,634.46 = 6,417.73 : x
  2. Step 2: Convert to fraction form
    11,752.80/17,634.46 = 6,417.73/x
  3. Step 3: Cross multiply
    11,752.80x = 17,634.46 × 6,417.73
  4. Step 4: Simplify right side
    11,752.80x = 113,173,202.98
  5. Step 5: Solve for x
    x = 113,173,202.98/11,752.80
  6. Step 6: Final answer
    x = 9,629.47

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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.