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Finding the Fourth Proportional to 11,746.33, 17,613.11 and 5,414.36

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Solution

The fourth proportional to 11,746.33, 17,613.11 and 5,414.36 is: 8,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.33 : 17,613.11 = 5,414.36 : x
  2. Step 2: Convert to fraction form
    11,746.33/17,613.11 = 5,414.36/x
  3. Step 3: Cross multiply
    11,746.33x = 17,613.11 × 5,414.36
  4. Step 4: Simplify right side
    11,746.33x = 95,363,643.73
  5. Step 5: Solve for x
    x = 95,363,643.73/11,746.33
  6. Step 6: Final answer
    x = 8,118.59

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