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Finding the Fourth Proportional to 8,744.96, 12,072.09 and 5,158.70

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Solution

The fourth proportional to 8,744.96, 12,072.09 and 5,158.70 is: 7,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.96 : 12,072.09 = 5,158.70 : x
  2. Step 2: Convert to fraction form
    8,744.96/12,072.09 = 5,158.70/x
  3. Step 3: Cross multiply
    8,744.96x = 12,072.09 × 5,158.70
  4. Step 4: Simplify right side
    8,744.96x = 62,276,333.83
  5. Step 5: Solve for x
    x = 62,276,333.83/8,744.96
  6. Step 6: Final answer
    x = 7,121.40

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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.