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Finding the Fourth Proportional to 11,668.44, 16,075.08 and 8,125.32

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Solution

The fourth proportional to 11,668.44, 16,075.08 and 8,125.32 is: 11,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.44 : 16,075.08 = 8,125.32 : x
  2. Step 2: Convert to fraction form
    11,668.44/16,075.08 = 8,125.32/x
  3. Step 3: Cross multiply
    11,668.44x = 16,075.08 × 8,125.32
  4. Step 4: Simplify right side
    11,668.44x = 130,615,169.03
  5. Step 5: Solve for x
    x = 130,615,169.03/11,668.44
  6. Step 6: Final answer
    x = 11,193.88

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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.