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Finding the Fourth Proportional to 11,649.12, 16,075.85 and 6,933.57

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Solution

The fourth proportional to 11,649.12, 16,075.85 and 6,933.57 is: 9,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.12 : 16,075.85 = 6,933.57 : x
  2. Step 2: Convert to fraction form
    11,649.12/16,075.85 = 6,933.57/x
  3. Step 3: Cross multiply
    11,649.12x = 16,075.85 × 6,933.57
  4. Step 4: Simplify right side
    11,649.12x = 111,462,996.62
  5. Step 5: Solve for x
    x = 111,462,996.62/11,649.12
  6. Step 6: Final answer
    x = 9,568.36

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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.