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Finding the Fourth Proportional to 6,760.69, 10,144.38 and 4,564.60

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Solution

The fourth proportional to 6,760.69, 10,144.38 and 4,564.60 is: 6,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.69 : 10,144.38 = 4,564.60 : x
  2. Step 2: Convert to fraction form
    6,760.69/10,144.38 = 4,564.60/x
  3. Step 3: Cross multiply
    6,760.69x = 10,144.38 × 4,564.60
  4. Step 4: Simplify right side
    6,760.69x = 46,305,036.95
  5. Step 5: Solve for x
    x = 46,305,036.95/6,760.69
  6. Step 6: Final answer
    x = 6,849.16

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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.