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Finding the Fourth Proportional to 7,536.78, 11,297.61 and 2,605.50

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Solution

The fourth proportional to 7,536.78, 11,297.61 and 2,605.50 is: 3,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.78 : 11,297.61 = 2,605.50 : x
  2. Step 2: Convert to fraction form
    7,536.78/11,297.61 = 2,605.50/x
  3. Step 3: Cross multiply
    7,536.78x = 11,297.61 × 2,605.50
  4. Step 4: Simplify right side
    7,536.78x = 29,435,922.86
  5. Step 5: Solve for x
    x = 29,435,922.86/7,536.78
  6. Step 6: Final answer
    x = 3,905.64

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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.