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Finding the Fourth Proportional to 8,597.38, 11,860.01 and 5,614.96

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Solution

The fourth proportional to 8,597.38, 11,860.01 and 5,614.96 is: 7,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.38 : 11,860.01 = 5,614.96 : x
  2. Step 2: Convert to fraction form
    8,597.38/11,860.01 = 5,614.96/x
  3. Step 3: Cross multiply
    8,597.38x = 11,860.01 × 5,614.96
  4. Step 4: Simplify right side
    8,597.38x = 66,593,466.14
  5. Step 5: Solve for x
    x = 66,593,466.14/8,597.38
  6. Step 6: Final answer
    x = 7,745.79

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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.