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Finding the Fourth Proportional to 7,667.04, 11,498.94 and 2,735.76

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Solution

The fourth proportional to 7,667.04, 11,498.94 and 2,735.76 is: 4,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.04 : 11,498.94 = 2,735.76 : x
  2. Step 2: Convert to fraction form
    7,667.04/11,498.94 = 2,735.76/x
  3. Step 3: Cross multiply
    7,667.04x = 11,498.94 × 2,735.76
  4. Step 4: Simplify right side
    7,667.04x = 31,458,340.09
  5. Step 5: Solve for x
    x = 31,458,340.09/7,667.04
  6. Step 6: Final answer
    x = 4,103.06

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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.