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Finding the Fourth Proportional to 11,821.68, 16,313.00 and 6,516.50

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Solution

The fourth proportional to 11,821.68, 16,313.00 and 6,516.50 is: 8,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.68 : 16,313.00 = 6,516.50 : x
  2. Step 2: Convert to fraction form
    11,821.68/16,313.00 = 6,516.50/x
  3. Step 3: Cross multiply
    11,821.68x = 16,313.00 × 6,516.50
  4. Step 4: Simplify right side
    11,821.68x = 106,303,550.35
  5. Step 5: Solve for x
    x = 106,303,550.35/11,821.68
  6. Step 6: Final answer
    x = 8,992.25

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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.