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Finding the Fourth Proportional to 11,761.20, 16,230.64 and 6,456.50

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Solution

The fourth proportional to 11,761.20, 16,230.64 and 6,456.50 is: 8,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.20 : 16,230.64 = 6,456.50 : x
  2. Step 2: Convert to fraction form
    11,761.20/16,230.64 = 6,456.50/x
  3. Step 3: Cross multiply
    11,761.20x = 16,230.64 × 6,456.50
  4. Step 4: Simplify right side
    11,761.20x = 104,793,127.16
  5. Step 5: Solve for x
    x = 104,793,127.16/11,761.20
  6. Step 6: Final answer
    x = 8,910.07

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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.