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Finding the Fourth Proportional to 11,654.71, 17,483.78 and 4,257.44

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Solution

The fourth proportional to 11,654.71, 17,483.78 and 4,257.44 is: 6,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.71 : 17,483.78 = 4,257.44 : x
  2. Step 2: Convert to fraction form
    11,654.71/17,483.78 = 4,257.44/x
  3. Step 3: Cross multiply
    11,654.71x = 17,483.78 × 4,257.44
  4. Step 4: Simplify right side
    11,654.71x = 74,436,056.90
  5. Step 5: Solve for x
    x = 74,436,056.90/11,654.71
  6. Step 6: Final answer
    x = 6,386.78

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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.