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Finding the Fourth Proportional to 11,567.44, 15,958.92 and 10,450

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Solution

The fourth proportional to 11,567.44, 15,958.92 and 10,450 is: 14,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.44 : 15,958.92 = 10,450 : x
  2. Step 2: Convert to fraction form
    11,567.44/15,958.92 = 10,450/x
  3. Step 3: Cross multiply
    11,567.44x = 15,958.92 × 10,450
  4. Step 4: Simplify right side
    11,567.44x = 166,770,714
  5. Step 5: Solve for x
    x = 166,770,714/11,567.44
  6. Step 6: Final answer
    x = 14,417.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.