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Finding the Fourth Proportional to 8,286.70, 12,430.08 and 3,092.50

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Solution

The fourth proportional to 8,286.70, 12,430.08 and 3,092.50 is: 4,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.70 : 12,430.08 = 3,092.50 : x
  2. Step 2: Convert to fraction form
    8,286.70/12,430.08 = 3,092.50/x
  3. Step 3: Cross multiply
    8,286.70x = 12,430.08 × 3,092.50
  4. Step 4: Simplify right side
    8,286.70x = 38,440,022.40
  5. Step 5: Solve for x
    x = 38,440,022.40/8,286.70
  6. Step 6: Final answer
    x = 4,638.76

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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.