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Finding the Fourth Proportional to 8,190.46, 12,283.56 and 2,345.71

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Solution

The fourth proportional to 8,190.46, 12,283.56 and 2,345.71 is: 3,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.46 : 12,283.56 = 2,345.71 : x
  2. Step 2: Convert to fraction form
    8,190.46/12,283.56 = 2,345.71/x
  3. Step 3: Cross multiply
    8,190.46x = 12,283.56 × 2,345.71
  4. Step 4: Simplify right side
    8,190.46x = 28,813,669.53
  5. Step 5: Solve for x
    x = 28,813,669.53/8,190.46
  6. Step 6: Final answer
    x = 3,517.95

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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.