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Finding the Fourth Proportional to 7,639.97, 11,457.54 and 2,959.65

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Solution

The fourth proportional to 7,639.97, 11,457.54 and 2,959.65 is: 4,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.97 : 11,457.54 = 2,959.65 : x
  2. Step 2: Convert to fraction form
    7,639.97/11,457.54 = 2,959.65/x
  3. Step 3: Cross multiply
    7,639.97x = 11,457.54 × 2,959.65
  4. Step 4: Simplify right side
    7,639.97x = 33,910,308.26
  5. Step 5: Solve for x
    x = 33,910,308.26/7,639.97
  6. Step 6: Final answer
    x = 4,438.54

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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.