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Finding the Fourth Proportional to 11,042.74, 16,558.89 and 4,017.84

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Solution

The fourth proportional to 11,042.74, 16,558.89 and 4,017.84 is: 6,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.74 : 16,558.89 = 4,017.84 : x
  2. Step 2: Convert to fraction form
    11,042.74/16,558.89 = 4,017.84/x
  3. Step 3: Cross multiply
    11,042.74x = 16,558.89 × 4,017.84
  4. Step 4: Simplify right side
    11,042.74x = 66,530,970.60
  5. Step 5: Solve for x
    x = 66,530,970.60/11,042.74
  6. Step 6: Final answer
    x = 6,024.86

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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.