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Finding the Fourth Proportional to 7,952.04, 11,928.78 and 3,270.96

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Solution

The fourth proportional to 7,952.04, 11,928.78 and 3,270.96 is: 4,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.04 : 11,928.78 = 3,270.96 : x
  2. Step 2: Convert to fraction form
    7,952.04/11,928.78 = 3,270.96/x
  3. Step 3: Cross multiply
    7,952.04x = 11,928.78 × 3,270.96
  4. Step 4: Simplify right side
    7,952.04x = 39,018,562.23
  5. Step 5: Solve for x
    x = 39,018,562.23/7,952.04
  6. Step 6: Final answer
    x = 4,906.74

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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.