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Finding the Fourth Proportional to 7,791.67, 11,693.15 and 3,048.53

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Solution

The fourth proportional to 7,791.67, 11,693.15 and 3,048.53 is: 4,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.67 : 11,693.15 = 3,048.53 : x
  2. Step 2: Convert to fraction form
    7,791.67/11,693.15 = 3,048.53/x
  3. Step 3: Cross multiply
    7,791.67x = 11,693.15 × 3,048.53
  4. Step 4: Simplify right side
    7,791.67x = 35,646,918.57
  5. Step 5: Solve for x
    x = 35,646,918.57/7,791.67
  6. Step 6: Final answer
    x = 4,575.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.