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Finding the Fourth Proportional to 11,022.42, 16,538.52 and 4,461.42

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Solution

The fourth proportional to 11,022.42, 16,538.52 and 4,461.42 is: 6,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.42 : 16,538.52 = 4,461.42 : x
  2. Step 2: Convert to fraction form
    11,022.42/16,538.52 = 4,461.42/x
  3. Step 3: Cross multiply
    11,022.42x = 16,538.52 × 4,461.42
  4. Step 4: Simplify right side
    11,022.42x = 73,785,283.90
  5. Step 5: Solve for x
    x = 73,785,283.90/11,022.42
  6. Step 6: Final answer
    x = 6,694.11

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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.