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Finding the Fourth Proportional to 11,992.57, 17,986.80 and 5,417.21

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Solution

The fourth proportional to 11,992.57, 17,986.80 and 5,417.21 is: 8,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.57 : 17,986.80 = 5,417.21 : x
  2. Step 2: Convert to fraction form
    11,992.57/17,986.80 = 5,417.21/x
  3. Step 3: Cross multiply
    11,992.57x = 17,986.80 × 5,417.21
  4. Step 4: Simplify right side
    11,992.57x = 97,438,272.83
  5. Step 5: Solve for x
    x = 97,438,272.83/11,992.57
  6. Step 6: Final answer
    x = 8,124.89

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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.