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Finding the Fourth Proportional to 7,666.96, 11,497.56 and 2,735.26

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Solution

The fourth proportional to 7,666.96, 11,497.56 and 2,735.26 is: 4,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.96 : 11,497.56 = 2,735.26 : x
  2. Step 2: Convert to fraction form
    7,666.96/11,497.56 = 2,735.26/x
  3. Step 3: Cross multiply
    7,666.96x = 11,497.56 × 2,735.26
  4. Step 4: Simplify right side
    7,666.96x = 31,448,815.97
  5. Step 5: Solve for x
    x = 31,448,815.97/7,666.96
  6. Step 6: Final answer
    x = 4,101.86

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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.