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Finding the Fourth Proportional to 8,606.38, 11,880.42 and 7,286.92

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Solution

The fourth proportional to 8,606.38, 11,880.42 and 7,286.92 is: 10,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.38 : 11,880.42 = 7,286.92 : x
  2. Step 2: Convert to fraction form
    8,606.38/11,880.42 = 7,286.92/x
  3. Step 3: Cross multiply
    8,606.38x = 11,880.42 × 7,286.92
  4. Step 4: Simplify right side
    8,606.38x = 86,571,670.11
  5. Step 5: Solve for x
    x = 86,571,670.11/8,606.38
  6. Step 6: Final answer
    x = 10,059.01

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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.