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Finding the Fourth Proportional to 11,548.18, 17,309.90 and 6,000.16

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Solution

The fourth proportional to 11,548.18, 17,309.90 and 6,000.16 is: 8,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.18 : 17,309.90 = 6,000.16 : x
  2. Step 2: Convert to fraction form
    11,548.18/17,309.90 = 6,000.16/x
  3. Step 3: Cross multiply
    11,548.18x = 17,309.90 × 6,000.16
  4. Step 4: Simplify right side
    11,548.18x = 103,862,169.58
  5. Step 5: Solve for x
    x = 103,862,169.58/11,548.18
  6. Step 6: Final answer
    x = 8,993.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.