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Finding the Fourth Proportional to 8,504, 11,735.52 and 4,778

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Solution

The fourth proportional to 8,504, 11,735.52 and 4,778 is: 6,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504 : 11,735.52 = 4,778 : x
  2. Step 2: Convert to fraction form
    8,504/11,735.52 = 4,778/x
  3. Step 3: Cross multiply
    8,504x = 11,735.52 × 4,778
  4. Step 4: Simplify right side
    8,504x = 56,072,314.56
  5. Step 5: Solve for x
    x = 56,072,314.56/8,504
  6. Step 6: Final answer
    x = 6,593.64

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Why These Related Problems?

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