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Finding the Fourth Proportional to 11,827.99, 16,322.40 and 6,450.49

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Solution

The fourth proportional to 11,827.99, 16,322.40 and 6,450.49 is: 8,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.99 : 16,322.40 = 6,450.49 : x
  2. Step 2: Convert to fraction form
    11,827.99/16,322.40 = 6,450.49/x
  3. Step 3: Cross multiply
    11,827.99x = 16,322.40 × 6,450.49
  4. Step 4: Simplify right side
    11,827.99x = 105,287,477.98
  5. Step 5: Solve for x
    x = 105,287,477.98/11,827.99
  6. Step 6: Final answer
    x = 8,901.55

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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.