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Finding the Fourth Proportional to 10,762.37, 14,851.72 and 5,982.29

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Solution

The fourth proportional to 10,762.37, 14,851.72 and 5,982.29 is: 8,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.37 : 14,851.72 = 5,982.29 : x
  2. Step 2: Convert to fraction form
    10,762.37/14,851.72 = 5,982.29/x
  3. Step 3: Cross multiply
    10,762.37x = 14,851.72 × 5,982.29
  4. Step 4: Simplify right side
    10,762.37x = 88,847,296.04
  5. Step 5: Solve for x
    x = 88,847,296.04/10,762.37
  6. Step 6: Final answer
    x = 8,255.37

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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.