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Finding the Fourth Proportional to 11,647.64, 16,075.08 and 6,611.38

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Solution

The fourth proportional to 11,647.64, 16,075.08 and 6,611.38 is: 9,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.64 : 16,075.08 = 6,611.38 : x
  2. Step 2: Convert to fraction form
    11,647.64/16,075.08 = 6,611.38/x
  3. Step 3: Cross multiply
    11,647.64x = 16,075.08 × 6,611.38
  4. Step 4: Simplify right side
    11,647.64x = 106,278,553.85
  5. Step 5: Solve for x
    x = 106,278,553.85/11,647.64
  6. Step 6: Final answer
    x = 9,124.47

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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.