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Finding the Fourth Proportional to 7,262.64, 10,891.94 and 2,582.06

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Solution

The fourth proportional to 7,262.64, 10,891.94 and 2,582.06 is: 3,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.64 : 10,891.94 = 2,582.06 : x
  2. Step 2: Convert to fraction form
    7,262.64/10,891.94 = 2,582.06/x
  3. Step 3: Cross multiply
    7,262.64x = 10,891.94 × 2,582.06
  4. Step 4: Simplify right side
    7,262.64x = 28,123,575.23
  5. Step 5: Solve for x
    x = 28,123,575.23/7,262.64
  6. Step 6: Final answer
    x = 3,872.36

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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.