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Finding the Fourth Proportional to 10,584.50, 14,610.71 and 7,939.60

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Solution

The fourth proportional to 10,584.50, 14,610.71 and 7,939.60 is: 10,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.50 : 14,610.71 = 7,939.60 : x
  2. Step 2: Convert to fraction form
    10,584.50/14,610.71 = 7,939.60/x
  3. Step 3: Cross multiply
    10,584.50x = 14,610.71 × 7,939.60
  4. Step 4: Simplify right side
    10,584.50x = 116,003,176.44
  5. Step 5: Solve for x
    x = 116,003,176.44/10,584.50
  6. Step 6: Final answer
    x = 10,959.73

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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.