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Finding the Fourth Proportional to 11,304.31, 16,957.23 and 4,189.21

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Solution

The fourth proportional to 11,304.31, 16,957.23 and 4,189.21 is: 6,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.31 : 16,957.23 = 4,189.21 : x
  2. Step 2: Convert to fraction form
    11,304.31/16,957.23 = 4,189.21/x
  3. Step 3: Cross multiply
    11,304.31x = 16,957.23 × 4,189.21
  4. Step 4: Simplify right side
    11,304.31x = 71,037,397.49
  5. Step 5: Solve for x
    x = 71,037,397.49/11,304.31
  6. Step 6: Final answer
    x = 6,284.10

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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.