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Finding the Fourth Proportional to 7,722.92, 10,657.70 and 4,186.16

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Solution

The fourth proportional to 7,722.92, 10,657.70 and 4,186.16 is: 5,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.92 : 10,657.70 = 4,186.16 : x
  2. Step 2: Convert to fraction form
    7,722.92/10,657.70 = 4,186.16/x
  3. Step 3: Cross multiply
    7,722.92x = 10,657.70 × 4,186.16
  4. Step 4: Simplify right side
    7,722.92x = 44,614,837.43
  5. Step 5: Solve for x
    x = 44,614,837.43/7,722.92
  6. Step 6: Final answer
    x = 5,776.94

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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.