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Finding the Fourth Proportional to 10,609.37, 14,640.89 and 5,828.54

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Solution

The fourth proportional to 10,609.37, 14,640.89 and 5,828.54 is: 8,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.37 : 14,640.89 = 5,828.54 : x
  2. Step 2: Convert to fraction form
    10,609.37/14,640.89 = 5,828.54/x
  3. Step 3: Cross multiply
    10,609.37x = 14,640.89 × 5,828.54
  4. Step 4: Simplify right side
    10,609.37x = 85,335,013.00
  5. Step 5: Solve for x
    x = 85,335,013.00/10,609.37
  6. Step 6: Final answer
    x = 8,043.37

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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.