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Finding the Fourth Proportional to 11,659.41, 16,089.89 and 6,354.23

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Solution

The fourth proportional to 11,659.41, 16,089.89 and 6,354.23 is: 8,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.41 : 16,089.89 = 6,354.23 : x
  2. Step 2: Convert to fraction form
    11,659.41/16,089.89 = 6,354.23/x
  3. Step 3: Cross multiply
    11,659.41x = 16,089.89 × 6,354.23
  4. Step 4: Simplify right side
    11,659.41x = 102,238,749.51
  5. Step 5: Solve for x
    x = 102,238,749.51/11,659.41
  6. Step 6: Final answer
    x = 8,768.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.