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Finding the Fourth Proportional to 11,804.27, 16,289.90 and 6,499.09

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Solution

The fourth proportional to 11,804.27, 16,289.90 and 6,499.09 is: 8,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.27 : 16,289.90 = 6,499.09 : x
  2. Step 2: Convert to fraction form
    11,804.27/16,289.90 = 6,499.09/x
  3. Step 3: Cross multiply
    11,804.27x = 16,289.90 × 6,499.09
  4. Step 4: Simplify right side
    11,804.27x = 105,869,526.19
  5. Step 5: Solve for x
    x = 105,869,526.19/11,804.27
  6. Step 6: Final answer
    x = 8,968.75

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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.