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Finding the Fourth Proportional to 10,512.09, 14,506.79 and 5,796.54

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Solution

The fourth proportional to 10,512.09, 14,506.79 and 5,796.54 is: 7,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.09 : 14,506.79 = 5,796.54 : x
  2. Step 2: Convert to fraction form
    10,512.09/14,506.79 = 5,796.54/x
  3. Step 3: Cross multiply
    10,512.09x = 14,506.79 × 5,796.54
  4. Step 4: Simplify right side
    10,512.09x = 84,089,188.51
  5. Step 5: Solve for x
    x = 84,089,188.51/10,512.09
  6. Step 6: Final answer
    x = 7,999.28

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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.