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Finding the Fourth Proportional to 11,804.72, 16,289.94 and 6,499.44

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Solution

The fourth proportional to 11,804.72, 16,289.94 and 6,499.44 is: 8,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.72 : 16,289.94 = 6,499.44 : x
  2. Step 2: Convert to fraction form
    11,804.72/16,289.94 = 6,499.44/x
  3. Step 3: Cross multiply
    11,804.72x = 16,289.94 × 6,499.44
  4. Step 4: Simplify right side
    11,804.72x = 105,875,487.63
  5. Step 5: Solve for x
    x = 105,875,487.63/11,804.72
  6. Step 6: Final answer
    x = 8,968.91

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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.