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Finding the Fourth Proportional to 11,576.52, 15,965.10 and 7,596.12

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Solution

The fourth proportional to 11,576.52, 15,965.10 and 7,596.12 is: 10,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.52 : 15,965.10 = 7,596.12 : x
  2. Step 2: Convert to fraction form
    11,576.52/15,965.10 = 7,596.12/x
  3. Step 3: Cross multiply
    11,576.52x = 15,965.10 × 7,596.12
  4. Step 4: Simplify right side
    11,576.52x = 121,272,815.41
  5. Step 5: Solve for x
    x = 121,272,815.41/11,576.52
  6. Step 6: Final answer
    x = 10,475.76

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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.