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Finding the Fourth Proportional to 11,452.01, 17,184.40 and 6,186.92

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Solution

The fourth proportional to 11,452.01, 17,184.40 and 6,186.92 is: 9,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.01 : 17,184.40 = 6,186.92 : x
  2. Step 2: Convert to fraction form
    11,452.01/17,184.40 = 6,186.92/x
  3. Step 3: Cross multiply
    11,452.01x = 17,184.40 × 6,186.92
  4. Step 4: Simplify right side
    11,452.01x = 106,318,406.66
  5. Step 5: Solve for x
    x = 106,318,406.66/11,452.01
  6. Step 6: Final answer
    x = 9,283.82

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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.