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Finding the Fourth Proportional to 7,666.97, 11,501.55 and 2,735.57

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Solution

The fourth proportional to 7,666.97, 11,501.55 and 2,735.57 is: 4,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.97 : 11,501.55 = 2,735.57 : x
  2. Step 2: Convert to fraction form
    7,666.97/11,501.55 = 2,735.57/x
  3. Step 3: Cross multiply
    7,666.97x = 11,501.55 × 2,735.57
  4. Step 4: Simplify right side
    7,666.97x = 31,463,295.13
  5. Step 5: Solve for x
    x = 31,463,295.13/7,666.97
  6. Step 6: Final answer
    x = 4,103.75

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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.