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Finding the Fourth Proportional to 8,662.64, 11,954.64 and 5,126.48

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Solution

The fourth proportional to 8,662.64, 11,954.64 and 5,126.48 is: 7,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.64 : 11,954.64 = 5,126.48 : x
  2. Step 2: Convert to fraction form
    8,662.64/11,954.64 = 5,126.48/x
  3. Step 3: Cross multiply
    8,662.64x = 11,954.64 × 5,126.48
  4. Step 4: Simplify right side
    8,662.64x = 61,285,222.87
  5. Step 5: Solve for x
    x = 61,285,222.87/8,662.64
  6. Step 6: Final answer
    x = 7,074.66

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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.