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Finding the Fourth Proportional to 7,756.38, 11,635.38 and 2,562.26

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Solution

The fourth proportional to 7,756.38, 11,635.38 and 2,562.26 is: 3,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.38 : 11,635.38 = 2,562.26 : x
  2. Step 2: Convert to fraction form
    7,756.38/11,635.38 = 2,562.26/x
  3. Step 3: Cross multiply
    7,756.38x = 11,635.38 × 2,562.26
  4. Step 4: Simplify right side
    7,756.38x = 29,812,810.58
  5. Step 5: Solve for x
    x = 29,812,810.58/7,756.38
  6. Step 6: Final answer
    x = 3,843.65

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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.