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Finding the Fourth Proportional to 11,267.60, 16,896.47 and 5,346.18

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Solution

The fourth proportional to 11,267.60, 16,896.47 and 5,346.18 is: 8,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.60 : 16,896.47 = 5,346.18 : x
  2. Step 2: Convert to fraction form
    11,267.60/16,896.47 = 5,346.18/x
  3. Step 3: Cross multiply
    11,267.60x = 16,896.47 × 5,346.18
  4. Step 4: Simplify right side
    11,267.60x = 90,331,499.94
  5. Step 5: Solve for x
    x = 90,331,499.94/11,267.60
  6. Step 6: Final answer
    x = 8,016.92

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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.