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Finding the Fourth Proportional to 7,679.01, 11,541.24 and 6,371.25

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Solution

The fourth proportional to 7,679.01, 11,541.24 and 6,371.25 is: 9,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.01 : 11,541.24 = 6,371.25 : x
  2. Step 2: Convert to fraction form
    7,679.01/11,541.24 = 6,371.25/x
  3. Step 3: Cross multiply
    7,679.01x = 11,541.24 × 6,371.25
  4. Step 4: Simplify right side
    7,679.01x = 73,532,125.35
  5. Step 5: Solve for x
    x = 73,532,125.35/7,679.01
  6. Step 6: Final answer
    x = 9,575.73

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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.