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Finding the Fourth Proportional to 7,722.60, 10,657.15 and 4,185.80

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Solution

The fourth proportional to 7,722.60, 10,657.15 and 4,185.80 is: 5,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.60 : 10,657.15 = 4,185.80 : x
  2. Step 2: Convert to fraction form
    7,722.60/10,657.15 = 4,185.80/x
  3. Step 3: Cross multiply
    7,722.60x = 10,657.15 × 4,185.80
  4. Step 4: Simplify right side
    7,722.60x = 44,608,698.47
  5. Step 5: Solve for x
    x = 44,608,698.47/7,722.60
  6. Step 6: Final answer
    x = 5,776.38

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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.