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Finding the Fourth Proportional to 11,930.76, 17,885.88 and 4,138.56

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Solution

The fourth proportional to 11,930.76, 17,885.88 and 4,138.56 is: 6,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.76 : 17,885.88 = 4,138.56 : x
  2. Step 2: Convert to fraction form
    11,930.76/17,885.88 = 4,138.56/x
  3. Step 3: Cross multiply
    11,930.76x = 17,885.88 × 4,138.56
  4. Step 4: Simplify right side
    11,930.76x = 74,021,787.53
  5. Step 5: Solve for x
    x = 74,021,787.53/11,930.76
  6. Step 6: Final answer
    x = 6,204.28

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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.