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Finding the Fourth Proportional to 6,716.45, 10,074.70 and 2,274.15

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Solution

The fourth proportional to 6,716.45, 10,074.70 and 2,274.15 is: 3,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.45 : 10,074.70 = 2,274.15 : x
  2. Step 2: Convert to fraction form
    6,716.45/10,074.70 = 2,274.15/x
  3. Step 3: Cross multiply
    6,716.45x = 10,074.70 × 2,274.15
  4. Step 4: Simplify right side
    6,716.45x = 22,911,379.01
  5. Step 5: Solve for x
    x = 22,911,379.01/6,716.45
  6. Step 6: Final answer
    x = 3,411.23

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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.