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Finding the Fourth Proportional to 11,412.83, 17,117.88 and 3,092.33

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Solution

The fourth proportional to 11,412.83, 17,117.88 and 3,092.33 is: 4,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.83 : 17,117.88 = 3,092.33 : x
  2. Step 2: Convert to fraction form
    11,412.83/17,117.88 = 3,092.33/x
  3. Step 3: Cross multiply
    11,412.83x = 17,117.88 × 3,092.33
  4. Step 4: Simplify right side
    11,412.83x = 52,934,048.27
  5. Step 5: Solve for x
    x = 52,934,048.27/11,412.83
  6. Step 6: Final answer
    x = 4,638.12

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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.