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Finding the Fourth Proportional to 10,657.62, 14,705.28 and 5,941.80

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Solution

The fourth proportional to 10,657.62, 14,705.28 and 5,941.80 is: 8,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.62 : 14,705.28 = 5,941.80 : x
  2. Step 2: Convert to fraction form
    10,657.62/14,705.28 = 5,941.80/x
  3. Step 3: Cross multiply
    10,657.62x = 14,705.28 × 5,941.80
  4. Step 4: Simplify right side
    10,657.62x = 87,375,832.70
  5. Step 5: Solve for x
    x = 87,375,832.70/10,657.62
  6. Step 6: Final answer
    x = 8,198.44

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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.