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Finding the Fourth Proportional to 11,804.48, 16,290.12 and 6,499.16

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Solution

The fourth proportional to 11,804.48, 16,290.12 and 6,499.16 is: 8,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.48 : 16,290.12 = 6,499.16 : x
  2. Step 2: Convert to fraction form
    11,804.48/16,290.12 = 6,499.16/x
  3. Step 3: Cross multiply
    11,804.48x = 16,290.12 × 6,499.16
  4. Step 4: Simplify right side
    11,804.48x = 105,872,096.30
  5. Step 5: Solve for x
    x = 105,872,096.30/11,804.48
  6. Step 6: Final answer
    x = 8,968.81

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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.