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Finding the Fourth Proportional to 7,966.25, 11,950.89 and 3,806.58

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Solution

The fourth proportional to 7,966.25, 11,950.89 and 3,806.58 is: 5,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.25 : 11,950.89 = 3,806.58 : x
  2. Step 2: Convert to fraction form
    7,966.25/11,950.89 = 3,806.58/x
  3. Step 3: Cross multiply
    7,966.25x = 11,950.89 × 3,806.58
  4. Step 4: Simplify right side
    7,966.25x = 45,491,999.82
  5. Step 5: Solve for x
    x = 45,491,999.82/7,966.25
  6. Step 6: Final answer
    x = 5,710.60

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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.