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Finding the Fourth Proportional to 8,343.70, 11,498.38 and 5,981.74

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Solution

The fourth proportional to 8,343.70, 11,498.38 and 5,981.74 is: 8,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.70 : 11,498.38 = 5,981.74 : x
  2. Step 2: Convert to fraction form
    8,343.70/11,498.38 = 5,981.74/x
  3. Step 3: Cross multiply
    8,343.70x = 11,498.38 × 5,981.74
  4. Step 4: Simplify right side
    8,343.70x = 68,780,275.88
  5. Step 5: Solve for x
    x = 68,780,275.88/8,343.70
  6. Step 6: Final answer
    x = 8,243.38

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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.