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Finding the Fourth Proportional to 7,970.40, 11,954.82 and 2,423.80

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Solution

The fourth proportional to 7,970.40, 11,954.82 and 2,423.80 is: 3,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.40 : 11,954.82 = 2,423.80 : x
  2. Step 2: Convert to fraction form
    7,970.40/11,954.82 = 2,423.80/x
  3. Step 3: Cross multiply
    7,970.40x = 11,954.82 × 2,423.80
  4. Step 4: Simplify right side
    7,970.40x = 28,976,092.72
  5. Step 5: Solve for x
    x = 28,976,092.72/7,970.40
  6. Step 6: Final answer
    x = 3,635.46

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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.