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Finding the Fourth Proportional to 8,443.15, 11,644.89 and 7,877.25

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Solution

The fourth proportional to 8,443.15, 11,644.89 and 7,877.25 is: 10,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.15 : 11,644.89 = 7,877.25 : x
  2. Step 2: Convert to fraction form
    8,443.15/11,644.89 = 7,877.25/x
  3. Step 3: Cross multiply
    8,443.15x = 11,644.89 × 7,877.25
  4. Step 4: Simplify right side
    8,443.15x = 91,729,709.75
  5. Step 5: Solve for x
    x = 91,729,709.75/8,443.15
  6. Step 6: Final answer
    x = 10,864.39

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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.