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Finding the Fourth Proportional to 26,524.64, 39,792 and 7,804.64

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Solution

The fourth proportional to 26,524.64, 39,792 and 7,804.64 is: 11,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.64 : 39,792 = 7,804.64 : x
  2. Step 2: Convert to fraction form
    26,524.64/39,792 = 7,804.64/x
  3. Step 3: Cross multiply
    26,524.64x = 39,792 × 7,804.64
  4. Step 4: Simplify right side
    26,524.64x = 310,562,234.88
  5. Step 5: Solve for x
    x = 310,562,234.88/26,524.64
  6. Step 6: Final answer
    x = 11,708.44

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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.