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Finding the Fourth Proportional to 7,191.80, 10,790.30 and 2,512.50

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Solution

The fourth proportional to 7,191.80, 10,790.30 and 2,512.50 is: 3,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.80 : 10,790.30 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    7,191.80/10,790.30 = 2,512.50/x
  3. Step 3: Cross multiply
    7,191.80x = 10,790.30 × 2,512.50
  4. Step 4: Simplify right side
    7,191.80x = 27,110,616.19
  5. Step 5: Solve for x
    x = 27,110,616.19/7,191.80
  6. Step 6: Final answer
    x = 3,769.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.