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Finding the Fourth Proportional to 7,966.36, 11,950.08 and 3,288.16

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Solution

The fourth proportional to 7,966.36, 11,950.08 and 3,288.16 is: 4,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.36 : 11,950.08 = 3,288.16 : x
  2. Step 2: Convert to fraction form
    7,966.36/11,950.08 = 3,288.16/x
  3. Step 3: Cross multiply
    7,966.36x = 11,950.08 × 3,288.16
  4. Step 4: Simplify right side
    7,966.36x = 39,293,775.05
  5. Step 5: Solve for x
    x = 39,293,775.05/7,966.36
  6. Step 6: Final answer
    x = 4,932.46

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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.