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Finding the Fourth Proportional to 6,123.90, 8,450.23 and 4,138.78

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Solution

The fourth proportional to 6,123.90, 8,450.23 and 4,138.78 is: 5,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.90 : 8,450.23 = 4,138.78 : x
  2. Step 2: Convert to fraction form
    6,123.90/8,450.23 = 4,138.78/x
  3. Step 3: Cross multiply
    6,123.90x = 8,450.23 × 4,138.78
  4. Step 4: Simplify right side
    6,123.90x = 34,973,642.92
  5. Step 5: Solve for x
    x = 34,973,642.92/6,123.90
  6. Step 6: Final answer
    x = 5,711.01

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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.