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Finding the Fourth Proportional to 11,576.25, 15,975.23 and 6,861.51

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Solution

The fourth proportional to 11,576.25, 15,975.23 and 6,861.51 is: 9,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.25 : 15,975.23 = 6,861.51 : x
  2. Step 2: Convert to fraction form
    11,576.25/15,975.23 = 6,861.51/x
  3. Step 3: Cross multiply
    11,576.25x = 15,975.23 × 6,861.51
  4. Step 4: Simplify right side
    11,576.25x = 109,614,166.09
  5. Step 5: Solve for x
    x = 109,614,166.09/11,576.25
  6. Step 6: Final answer
    x = 9,468.88

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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.