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Finding the Fourth Proportional to 11,782.08, 17,676 and 6,591.36

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Solution

The fourth proportional to 11,782.08, 17,676 and 6,591.36 is: 9,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.08 : 17,676 = 6,591.36 : x
  2. Step 2: Convert to fraction form
    11,782.08/17,676 = 6,591.36/x
  3. Step 3: Cross multiply
    11,782.08x = 17,676 × 6,591.36
  4. Step 4: Simplify right side
    11,782.08x = 116,508,879.36
  5. Step 5: Solve for x
    x = 116,508,879.36/11,782.08
  6. Step 6: Final answer
    x = 9,888.65

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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.