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Finding the Fourth Proportional to 11,659.25, 16,089.30 and 6,353.96

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Solution

The fourth proportional to 11,659.25, 16,089.30 and 6,353.96 is: 8,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.25 : 16,089.30 = 6,353.96 : x
  2. Step 2: Convert to fraction form
    11,659.25/16,089.30 = 6,353.96/x
  3. Step 3: Cross multiply
    11,659.25x = 16,089.30 × 6,353.96
  4. Step 4: Simplify right side
    11,659.25x = 102,230,688.18
  5. Step 5: Solve for x
    x = 102,230,688.18/11,659.25
  6. Step 6: Final answer
    x = 8,768.20

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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.