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Finding the Fourth Proportional to 11,410.98, 17,118.87 and 6,482.90

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Solution

The fourth proportional to 11,410.98, 17,118.87 and 6,482.90 is: 9,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.98 : 17,118.87 = 6,482.90 : x
  2. Step 2: Convert to fraction form
    11,410.98/17,118.87 = 6,482.90/x
  3. Step 3: Cross multiply
    11,410.98x = 17,118.87 × 6,482.90
  4. Step 4: Simplify right side
    11,410.98x = 110,979,922.32
  5. Step 5: Solve for x
    x = 110,979,922.32/11,410.98
  6. Step 6: Final answer
    x = 9,725.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.