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Finding the Fourth Proportional to 8,662.82, 11,957.76 and 5,126.02

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Solution

The fourth proportional to 8,662.82, 11,957.76 and 5,126.02 is: 7,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.82 : 11,957.76 = 5,126.02 : x
  2. Step 2: Convert to fraction form
    8,662.82/11,957.76 = 5,126.02/x
  3. Step 3: Cross multiply
    8,662.82x = 11,957.76 × 5,126.02
  4. Step 4: Simplify right side
    8,662.82x = 61,295,716.92
  5. Step 5: Solve for x
    x = 61,295,716.92/8,662.82
  6. Step 6: Final answer
    x = 7,075.72

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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.