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Finding the Fourth Proportional to 6,711.42, 10,074.42 and 4,950.90

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Solution

The fourth proportional to 6,711.42, 10,074.42 and 4,950.90 is: 7,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.42 : 10,074.42 = 4,950.90 : x
  2. Step 2: Convert to fraction form
    6,711.42/10,074.42 = 4,950.90/x
  3. Step 3: Cross multiply
    6,711.42x = 10,074.42 × 4,950.90
  4. Step 4: Simplify right side
    6,711.42x = 49,877,445.98
  5. Step 5: Solve for x
    x = 49,877,445.98/6,711.42
  6. Step 6: Final answer
    x = 7,431.73

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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.