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Finding the Fourth Proportional to 7,598.09, 10,489.75 and 5,791.38

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Solution

The fourth proportional to 7,598.09, 10,489.75 and 5,791.38 is: 7,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.09 : 10,489.75 = 5,791.38 : x
  2. Step 2: Convert to fraction form
    7,598.09/10,489.75 = 5,791.38/x
  3. Step 3: Cross multiply
    7,598.09x = 10,489.75 × 5,791.38
  4. Step 4: Simplify right side
    7,598.09x = 60,750,113.88
  5. Step 5: Solve for x
    x = 60,750,113.88/7,598.09
  6. Step 6: Final answer
    x = 7,995.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.