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Finding the Fourth Proportional to 11,854.49, 17,784.23 and 4,063.91

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Solution

The fourth proportional to 11,854.49, 17,784.23 and 4,063.91 is: 6,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.49 : 17,784.23 = 4,063.91 : x
  2. Step 2: Convert to fraction form
    11,854.49/17,784.23 = 4,063.91/x
  3. Step 3: Cross multiply
    11,854.49x = 17,784.23 × 4,063.91
  4. Step 4: Simplify right side
    11,854.49x = 72,273,400.90
  5. Step 5: Solve for x
    x = 72,273,400.90/11,854.49
  6. Step 6: Final answer
    x = 6,096.71

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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.