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Finding the Fourth Proportional to 11,456.82, 17,187.68 and 3,559.16

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Solution

The fourth proportional to 11,456.82, 17,187.68 and 3,559.16 is: 5,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.82 : 17,187.68 = 3,559.16 : x
  2. Step 2: Convert to fraction form
    11,456.82/17,187.68 = 3,559.16/x
  3. Step 3: Cross multiply
    11,456.82x = 17,187.68 × 3,559.16
  4. Step 4: Simplify right side
    11,456.82x = 61,173,703.15
  5. Step 5: Solve for x
    x = 61,173,703.15/11,456.82
  6. Step 6: Final answer
    x = 5,339.50

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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.