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Finding the Fourth Proportional to 7,286.58, 10,930.50 and 2,606.10

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Solution

The fourth proportional to 7,286.58, 10,930.50 and 2,606.10 is: 3,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.58 : 10,930.50 = 2,606.10 : x
  2. Step 2: Convert to fraction form
    7,286.58/10,930.50 = 2,606.10/x
  3. Step 3: Cross multiply
    7,286.58x = 10,930.50 × 2,606.10
  4. Step 4: Simplify right side
    7,286.58x = 28,485,976.05
  5. Step 5: Solve for x
    x = 28,485,976.05/7,286.58
  6. Step 6: Final answer
    x = 3,909.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.