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Finding the Fourth Proportional to 8,706.96, 12,017.43 and 5,348.97

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Solution

The fourth proportional to 8,706.96, 12,017.43 and 5,348.97 is: 7,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.96 : 12,017.43 = 5,348.97 : x
  2. Step 2: Convert to fraction form
    8,706.96/12,017.43 = 5,348.97/x
  3. Step 3: Cross multiply
    8,706.96x = 12,017.43 × 5,348.97
  4. Step 4: Simplify right side
    8,706.96x = 64,280,872.55
  5. Step 5: Solve for x
    x = 64,280,872.55/8,706.96
  6. Step 6: Final answer
    x = 7,382.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.