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Finding the Fourth Proportional to 11,649.26, 16,075.43 and 6,612.81

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Solution

The fourth proportional to 11,649.26, 16,075.43 and 6,612.81 is: 9,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.26 : 16,075.43 = 6,612.81 : x
  2. Step 2: Convert to fraction form
    11,649.26/16,075.43 = 6,612.81/x
  3. Step 3: Cross multiply
    11,649.26x = 16,075.43 × 6,612.81
  4. Step 4: Simplify right side
    11,649.26x = 106,303,731.19
  5. Step 5: Solve for x
    x = 106,303,731.19/11,649.26
  6. Step 6: Final answer
    x = 9,125.37

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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.