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Finding the Fourth Proportional to 12,791.64, 17,649.72 and 7,485.60

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Solution

The fourth proportional to 12,791.64, 17,649.72 and 7,485.60 is: 10,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.64 : 17,649.72 = 7,485.60 : x
  2. Step 2: Convert to fraction form
    12,791.64/17,649.72 = 7,485.60/x
  3. Step 3: Cross multiply
    12,791.64x = 17,649.72 × 7,485.60
  4. Step 4: Simplify right side
    12,791.64x = 132,118,744.03
  5. Step 5: Solve for x
    x = 132,118,744.03/12,791.64
  6. Step 6: Final answer
    x = 10,328.52

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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.