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Finding the Fourth Proportional to 11,652, 16,075.20 and 7,675.20

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Solution

The fourth proportional to 11,652, 16,075.20 and 7,675.20 is: 10,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 16,075.20 = 7,675.20 : x
  2. Step 2: Convert to fraction form
    11,652/16,075.20 = 7,675.20/x
  3. Step 3: Cross multiply
    11,652x = 16,075.20 × 7,675.20
  4. Step 4: Simplify right side
    11,652x = 123,380,375.04
  5. Step 5: Solve for x
    x = 123,380,375.04/11,652
  6. Step 6: Final answer
    x = 10,588.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.