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Finding the Fourth Proportional to 7,960.48, 11,940.95 and 3,800.92

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Solution

The fourth proportional to 7,960.48, 11,940.95 and 3,800.92 is: 5,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.48 : 11,940.95 = 3,800.92 : x
  2. Step 2: Convert to fraction form
    7,960.48/11,940.95 = 3,800.92/x
  3. Step 3: Cross multiply
    7,960.48x = 11,940.95 × 3,800.92
  4. Step 4: Simplify right side
    7,960.48x = 45,386,595.67
  5. Step 5: Solve for x
    x = 45,386,595.67/7,960.48
  6. Step 6: Final answer
    x = 5,701.49

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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.