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Finding the Fourth Proportional to 11,659.49, 16,089.84 and 6,354.35

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Solution

The fourth proportional to 11,659.49, 16,089.84 and 6,354.35 is: 8,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.49 : 16,089.84 = 6,354.35 : x
  2. Step 2: Convert to fraction form
    11,659.49/16,089.84 = 6,354.35/x
  3. Step 3: Cross multiply
    11,659.49x = 16,089.84 × 6,354.35
  4. Step 4: Simplify right side
    11,659.49x = 102,240,474.80
  5. Step 5: Solve for x
    x = 102,240,474.80/11,659.49
  6. Step 6: Final answer
    x = 8,768.86

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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.