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Finding the Fourth Proportional to 7,980.54, 11,972.31 and 2,434.38

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Solution

The fourth proportional to 7,980.54, 11,972.31 and 2,434.38 is: 3,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.54 : 11,972.31 = 2,434.38 : x
  2. Step 2: Convert to fraction form
    7,980.54/11,972.31 = 2,434.38/x
  3. Step 3: Cross multiply
    7,980.54x = 11,972.31 × 2,434.38
  4. Step 4: Simplify right side
    7,980.54x = 29,145,152.02
  5. Step 5: Solve for x
    x = 29,145,152.02/7,980.54
  6. Step 6: Final answer
    x = 3,652.03

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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.