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Finding the Fourth Proportional to 11,815.50, 17,727.28 and 4,029.78

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Solution

The fourth proportional to 11,815.50, 17,727.28 and 4,029.78 is: 6,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.50 : 17,727.28 = 4,029.78 : x
  2. Step 2: Convert to fraction form
    11,815.50/17,727.28 = 4,029.78/x
  3. Step 3: Cross multiply
    11,815.50x = 17,727.28 × 4,029.78
  4. Step 4: Simplify right side
    11,815.50x = 71,437,038.40
  5. Step 5: Solve for x
    x = 71,437,038.40/11,815.50
  6. Step 6: Final answer
    x = 6,046.04

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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.