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Finding the Fourth Proportional to 11,862.42, 17,796.72 and 6,311.20

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Solution

The fourth proportional to 11,862.42, 17,796.72 and 6,311.20 is: 9,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.42 : 17,796.72 = 6,311.20 : x
  2. Step 2: Convert to fraction form
    11,862.42/17,796.72 = 6,311.20/x
  3. Step 3: Cross multiply
    11,862.42x = 17,796.72 × 6,311.20
  4. Step 4: Simplify right side
    11,862.42x = 112,318,659.26
  5. Step 5: Solve for x
    x = 112,318,659.26/11,862.42
  6. Step 6: Final answer
    x = 9,468.44

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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.