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Finding the Fourth Proportional to 7,803.16, 11,704.80 and 3,123.56

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Solution

The fourth proportional to 7,803.16, 11,704.80 and 3,123.56 is: 4,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.16 : 11,704.80 = 3,123.56 : x
  2. Step 2: Convert to fraction form
    7,803.16/11,704.80 = 3,123.56/x
  3. Step 3: Cross multiply
    7,803.16x = 11,704.80 × 3,123.56
  4. Step 4: Simplify right side
    7,803.16x = 36,560,645.09
  5. Step 5: Solve for x
    x = 36,560,645.09/7,803.16
  6. Step 6: Final answer
    x = 4,685.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.