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Finding the Fourth Proportional to 8,251.42, 12,376.47 and 2,328.07

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Solution

The fourth proportional to 8,251.42, 12,376.47 and 2,328.07 is: 3,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.42 : 12,376.47 = 2,328.07 : x
  2. Step 2: Convert to fraction form
    8,251.42/12,376.47 = 2,328.07/x
  3. Step 3: Cross multiply
    8,251.42x = 12,376.47 × 2,328.07
  4. Step 4: Simplify right side
    8,251.42x = 28,813,257.57
  5. Step 5: Solve for x
    x = 28,813,257.57/8,251.42
  6. Step 6: Final answer
    x = 3,491.92

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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.