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Finding the Fourth Proportional to 8,525.69, 11,767.26 and 5,729.57

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Solution

The fourth proportional to 8,525.69, 11,767.26 and 5,729.57 is: 7,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.69 : 11,767.26 = 5,729.57 : x
  2. Step 2: Convert to fraction form
    8,525.69/11,767.26 = 5,729.57/x
  3. Step 3: Cross multiply
    8,525.69x = 11,767.26 × 5,729.57
  4. Step 4: Simplify right side
    8,525.69x = 67,421,252.39
  5. Step 5: Solve for x
    x = 67,421,252.39/8,525.69
  6. Step 6: Final answer
    x = 7,908.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.