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Finding the Fourth Proportional to 7,952.80, 11,929.20 and 4,496.80

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Solution

The fourth proportional to 7,952.80, 11,929.20 and 4,496.80 is: 6,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.80 : 11,929.20 = 4,496.80 : x
  2. Step 2: Convert to fraction form
    7,952.80/11,929.20 = 4,496.80/x
  3. Step 3: Cross multiply
    7,952.80x = 11,929.20 × 4,496.80
  4. Step 4: Simplify right side
    7,952.80x = 53,643,226.56
  5. Step 5: Solve for x
    x = 53,643,226.56/7,952.80
  6. Step 6: Final answer
    x = 6,745.20

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