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Finding the Fourth Proportional to 8,606.38, 11,880.48 and 7,286.98

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Solution

The fourth proportional to 8,606.38, 11,880.48 and 7,286.98 is: 10,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.38 : 11,880.48 = 7,286.98 : x
  2. Step 2: Convert to fraction form
    8,606.38/11,880.48 = 7,286.98/x
  3. Step 3: Cross multiply
    8,606.38x = 11,880.48 × 7,286.98
  4. Step 4: Simplify right side
    8,606.38x = 86,572,820.15
  5. Step 5: Solve for x
    x = 86,572,820.15/8,606.38
  6. Step 6: Final answer
    x = 10,059.14

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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.