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Finding the Fourth Proportional to 7,722.97, 10,657.75 and 4,186.24

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Solution

The fourth proportional to 7,722.97, 10,657.75 and 4,186.24 is: 5,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.97 : 10,657.75 = 4,186.24 : x
  2. Step 2: Convert to fraction form
    7,722.97/10,657.75 = 4,186.24/x
  3. Step 3: Cross multiply
    7,722.97x = 10,657.75 × 4,186.24
  4. Step 4: Simplify right side
    7,722.97x = 44,615,899.36
  5. Step 5: Solve for x
    x = 44,615,899.36/7,722.97
  6. Step 6: Final answer
    x = 5,777.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.