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Finding the Fourth Proportional to 11,865.69, 16,374.17 and 6,830.09

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Solution

The fourth proportional to 11,865.69, 16,374.17 and 6,830.09 is: 9,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.69 : 16,374.17 = 6,830.09 : x
  2. Step 2: Convert to fraction form
    11,865.69/16,374.17 = 6,830.09/x
  3. Step 3: Cross multiply
    11,865.69x = 16,374.17 × 6,830.09
  4. Step 4: Simplify right side
    11,865.69x = 111,836,938.75
  5. Step 5: Solve for x
    x = 111,836,938.75/11,865.69
  6. Step 6: Final answer
    x = 9,425.24

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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.