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Finding the Fourth Proportional to 8,260.34, 11,388.02 and 5,898.38

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Solution

The fourth proportional to 8,260.34, 11,388.02 and 5,898.38 is: 8,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.34 : 11,388.02 = 5,898.38 : x
  2. Step 2: Convert to fraction form
    8,260.34/11,388.02 = 5,898.38/x
  3. Step 3: Cross multiply
    8,260.34x = 11,388.02 × 5,898.38
  4. Step 4: Simplify right side
    8,260.34x = 67,170,869.41
  5. Step 5: Solve for x
    x = 67,170,869.41/8,260.34
  6. Step 6: Final answer
    x = 8,131.73

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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.