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Finding the Fourth Proportional to 11,576.12, 15,969.22 and 7,596.68

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Solution

The fourth proportional to 11,576.12, 15,969.22 and 7,596.68 is: 10,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.12 : 15,969.22 = 7,596.68 : x
  2. Step 2: Convert to fraction form
    11,576.12/15,969.22 = 7,596.68/x
  3. Step 3: Cross multiply
    11,576.12x = 15,969.22 × 7,596.68
  4. Step 4: Simplify right side
    11,576.12x = 121,312,955.35
  5. Step 5: Solve for x
    x = 121,312,955.35/11,576.12
  6. Step 6: Final answer
    x = 10,479.59

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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.