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Finding the Fourth Proportional to 8,312.79, 12,467.84 and 3,382.23

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Solution

The fourth proportional to 8,312.79, 12,467.84 and 3,382.23 is: 5,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.79 : 12,467.84 = 3,382.23 : x
  2. Step 2: Convert to fraction form
    8,312.79/12,467.84 = 3,382.23/x
  3. Step 3: Cross multiply
    8,312.79x = 12,467.84 × 3,382.23
  4. Step 4: Simplify right side
    8,312.79x = 42,169,085.57
  5. Step 5: Solve for x
    x = 42,169,085.57/8,312.79
  6. Step 6: Final answer
    x = 5,072.80

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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.