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Finding the Fourth Proportional to 7,713.75, 10,644.97 and 4,176.96

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Solution

The fourth proportional to 7,713.75, 10,644.97 and 4,176.96 is: 5,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.75 : 10,644.97 = 4,176.96 : x
  2. Step 2: Convert to fraction form
    7,713.75/10,644.97 = 4,176.96/x
  3. Step 3: Cross multiply
    7,713.75x = 10,644.97 × 4,176.96
  4. Step 4: Simplify right side
    7,713.75x = 44,463,623.76
  5. Step 5: Solve for x
    x = 44,463,623.76/7,713.75
  6. Step 6: Final answer
    x = 5,764.20

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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.