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Finding the Fourth Proportional to 10,762.25, 14,851.98 and 5,982.26

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Solution

The fourth proportional to 10,762.25, 14,851.98 and 5,982.26 is: 8,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.25 : 14,851.98 = 5,982.26 : x
  2. Step 2: Convert to fraction form
    10,762.25/14,851.98 = 5,982.26/x
  3. Step 3: Cross multiply
    10,762.25x = 14,851.98 × 5,982.26
  4. Step 4: Simplify right side
    10,762.25x = 88,848,331.61
  5. Step 5: Solve for x
    x = 88,848,331.61/10,762.25
  6. Step 6: Final answer
    x = 8,255.56

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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.