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Finding the Fourth Proportional to 7,938.40, 10,952.40 and 4,952.80

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Solution

The fourth proportional to 7,938.40, 10,952.40 and 4,952.80 is: 6,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.40 : 10,952.40 = 4,952.80 : x
  2. Step 2: Convert to fraction form
    7,938.40/10,952.40 = 4,952.80/x
  3. Step 3: Cross multiply
    7,938.40x = 10,952.40 × 4,952.80
  4. Step 4: Simplify right side
    7,938.40x = 54,245,046.72
  5. Step 5: Solve for x
    x = 54,245,046.72/7,938.40
  6. Step 6: Final answer
    x = 6,833.25

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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.