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Finding the Fourth Proportional to 7,286.10, 10,930.23 and 2,354.10

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Solution

The fourth proportional to 7,286.10, 10,930.23 and 2,354.10 is: 3,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.10 : 10,930.23 = 2,354.10 : x
  2. Step 2: Convert to fraction form
    7,286.10/10,930.23 = 2,354.10/x
  3. Step 3: Cross multiply
    7,286.10x = 10,930.23 × 2,354.10
  4. Step 4: Simplify right side
    7,286.10x = 25,730,854.44
  5. Step 5: Solve for x
    x = 25,730,854.44/7,286.10
  6. Step 6: Final answer
    x = 3,531.50

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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.