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Finding the Fourth Proportional to 11,766.42, 16,240.16 and 7,053.44

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Solution

The fourth proportional to 11,766.42, 16,240.16 and 7,053.44 is: 9,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.42 : 16,240.16 = 7,053.44 : x
  2. Step 2: Convert to fraction form
    11,766.42/16,240.16 = 7,053.44/x
  3. Step 3: Cross multiply
    11,766.42x = 16,240.16 × 7,053.44
  4. Step 4: Simplify right side
    11,766.42x = 114,548,930.58
  5. Step 5: Solve for x
    x = 114,548,930.58/11,766.42
  6. Step 6: Final answer
    x = 9,735.24

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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.