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Finding the Fourth Proportional to 8,306.28, 11,462.70 and 4,580.28

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Solution

The fourth proportional to 8,306.28, 11,462.70 and 4,580.28 is: 6,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.28 : 11,462.70 = 4,580.28 : x
  2. Step 2: Convert to fraction form
    8,306.28/11,462.70 = 4,580.28/x
  3. Step 3: Cross multiply
    8,306.28x = 11,462.70 × 4,580.28
  4. Step 4: Simplify right side
    8,306.28x = 52,502,375.56
  5. Step 5: Solve for x
    x = 52,502,375.56/8,306.28
  6. Step 6: Final answer
    x = 6,320.80

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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.