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Finding the Fourth Proportional to 11,865.40, 16,375.52 and 6,829.84

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Solution

The fourth proportional to 11,865.40, 16,375.52 and 6,829.84 is: 9,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.40 : 16,375.52 = 6,829.84 : x
  2. Step 2: Convert to fraction form
    11,865.40/16,375.52 = 6,829.84/x
  3. Step 3: Cross multiply
    11,865.40x = 16,375.52 × 6,829.84
  4. Step 4: Simplify right side
    11,865.40x = 111,842,181.52
  5. Step 5: Solve for x
    x = 111,842,181.52/11,865.40
  6. Step 6: Final answer
    x = 9,425.91

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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.