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Finding the Fourth Proportional to 8,273.09, 12,411.72 and 2,429.70

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Solution

The fourth proportional to 8,273.09, 12,411.72 and 2,429.70 is: 3,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.09 : 12,411.72 = 2,429.70 : x
  2. Step 2: Convert to fraction form
    8,273.09/12,411.72 = 2,429.70/x
  3. Step 3: Cross multiply
    8,273.09x = 12,411.72 × 2,429.70
  4. Step 4: Simplify right side
    8,273.09x = 30,156,706.12
  5. Step 5: Solve for x
    x = 30,156,706.12/8,273.09
  6. Step 6: Final answer
    x = 3,645.16

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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.