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Finding the Fourth Proportional to 8,661.82, 11,956.38 and 5,125.02

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Solution

The fourth proportional to 8,661.82, 11,956.38 and 5,125.02 is: 7,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.82 : 11,956.38 = 5,125.02 : x
  2. Step 2: Convert to fraction form
    8,661.82/11,956.38 = 5,125.02/x
  3. Step 3: Cross multiply
    8,661.82x = 11,956.38 × 5,125.02
  4. Step 4: Simplify right side
    8,661.82x = 61,276,601.22
  5. Step 5: Solve for x
    x = 61,276,601.22/8,661.82
  6. Step 6: Final answer
    x = 7,074.34

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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.