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Finding the Fourth Proportional to 8,614.35, 11,889.11 and 5,259.12

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Solution

The fourth proportional to 8,614.35, 11,889.11 and 5,259.12 is: 7,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.35 : 11,889.11 = 5,259.12 : x
  2. Step 2: Convert to fraction form
    8,614.35/11,889.11 = 5,259.12/x
  3. Step 3: Cross multiply
    8,614.35x = 11,889.11 × 5,259.12
  4. Step 4: Simplify right side
    8,614.35x = 62,526,229.89
  5. Step 5: Solve for x
    x = 62,526,229.89/8,614.35
  6. Step 6: Final answer
    x = 7,258.38

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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.