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Finding the Fourth Proportional to 11,766.91, 17,653.82 and 4,743.32

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Solution

The fourth proportional to 11,766.91, 17,653.82 and 4,743.32 is: 7,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.91 : 17,653.82 = 4,743.32 : x
  2. Step 2: Convert to fraction form
    11,766.91/17,653.82 = 4,743.32/x
  3. Step 3: Cross multiply
    11,766.91x = 17,653.82 × 4,743.32
  4. Step 4: Simplify right side
    11,766.91x = 83,737,605.50
  5. Step 5: Solve for x
    x = 83,737,605.50/11,766.91
  6. Step 6: Final answer
    x = 7,116.36

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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.