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Finding the Fourth Proportional to 7,576.90, 11,367.16 and 2,382.77

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Solution

The fourth proportional to 7,576.90, 11,367.16 and 2,382.77 is: 3,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.90 : 11,367.16 = 2,382.77 : x
  2. Step 2: Convert to fraction form
    7,576.90/11,367.16 = 2,382.77/x
  3. Step 3: Cross multiply
    7,576.90x = 11,367.16 × 2,382.77
  4. Step 4: Simplify right side
    7,576.90x = 27,085,327.83
  5. Step 5: Solve for x
    x = 27,085,327.83/7,576.90
  6. Step 6: Final answer
    x = 3,574.72

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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.