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Finding the Fourth Proportional to 7,952.90, 11,929.46 and 2,406.29

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Solution

The fourth proportional to 7,952.90, 11,929.46 and 2,406.29 is: 3,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.90 : 11,929.46 = 2,406.29 : x
  2. Step 2: Convert to fraction form
    7,952.90/11,929.46 = 2,406.29/x
  3. Step 3: Cross multiply
    7,952.90x = 11,929.46 × 2,406.29
  4. Step 4: Simplify right side
    7,952.90x = 28,705,668.62
  5. Step 5: Solve for x
    x = 28,705,668.62/7,952.90
  6. Step 6: Final answer
    x = 3,609.46

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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.