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Finding the Fourth Proportional to 11,196, 16,782.66 and 4,625.82

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Solution

The fourth proportional to 11,196, 16,782.66 and 4,625.82 is: 6,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196 : 16,782.66 = 4,625.82 : x
  2. Step 2: Convert to fraction form
    11,196/16,782.66 = 4,625.82/x
  3. Step 3: Cross multiply
    11,196x = 16,782.66 × 4,625.82
  4. Step 4: Simplify right side
    11,196x = 77,633,564.28
  5. Step 5: Solve for x
    x = 77,633,564.28/11,196
  6. Step 6: Final answer
    x = 6,934.04

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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.