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Finding the Fourth Proportional to 8,579.40, 11,843 and 7,259.88

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Solution

The fourth proportional to 8,579.40, 11,843 and 7,259.88 is: 10,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.40 : 11,843 = 7,259.88 : x
  2. Step 2: Convert to fraction form
    8,579.40/11,843 = 7,259.88/x
  3. Step 3: Cross multiply
    8,579.40x = 11,843 × 7,259.88
  4. Step 4: Simplify right side
    8,579.40x = 85,978,758.84
  5. Step 5: Solve for x
    x = 85,978,758.84/8,579.40
  6. Step 6: Final answer
    x = 10,021.54

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