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Finding the Fourth Proportional to 11,752.56, 17,628.71 and 3,966.84

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Solution

The fourth proportional to 11,752.56, 17,628.71 and 3,966.84 is: 5,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.56 : 17,628.71 = 3,966.84 : x
  2. Step 2: Convert to fraction form
    11,752.56/17,628.71 = 3,966.84/x
  3. Step 3: Cross multiply
    11,752.56x = 17,628.71 × 3,966.84
  4. Step 4: Simplify right side
    11,752.56x = 69,930,252.14
  5. Step 5: Solve for x
    x = 69,930,252.14/11,752.56
  6. Step 6: Final answer
    x = 5,950.21

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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.