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Finding the Fourth Proportional to 7,582.74, 11,371.03 and 2,651.22

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Solution

The fourth proportional to 7,582.74, 11,371.03 and 2,651.22 is: 3,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.74 : 11,371.03 = 2,651.22 : x
  2. Step 2: Convert to fraction form
    7,582.74/11,371.03 = 2,651.22/x
  3. Step 3: Cross multiply
    7,582.74x = 11,371.03 × 2,651.22
  4. Step 4: Simplify right side
    7,582.74x = 30,147,166.41
  5. Step 5: Solve for x
    x = 30,147,166.41/7,582.74
  6. Step 6: Final answer
    x = 3,975.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.