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Finding the Fourth Proportional to 6,790.64, 10,185.95 and 2,411.17

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Solution

The fourth proportional to 6,790.64, 10,185.95 and 2,411.17 is: 3,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.64 : 10,185.95 = 2,411.17 : x
  2. Step 2: Convert to fraction form
    6,790.64/10,185.95 = 2,411.17/x
  3. Step 3: Cross multiply
    6,790.64x = 10,185.95 × 2,411.17
  4. Step 4: Simplify right side
    6,790.64x = 24,560,037.62
  5. Step 5: Solve for x
    x = 24,560,037.62/6,790.64
  6. Step 6: Final answer
    x = 3,616.75

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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.