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Finding the Fourth Proportional to 7,980.54, 11,972.63 and 3,821.59

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Solution

The fourth proportional to 7,980.54, 11,972.63 and 3,821.59 is: 5,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.54 : 11,972.63 = 3,821.59 : x
  2. Step 2: Convert to fraction form
    7,980.54/11,972.63 = 3,821.59/x
  3. Step 3: Cross multiply
    7,980.54x = 11,972.63 × 3,821.59
  4. Step 4: Simplify right side
    7,980.54x = 45,754,483.08
  5. Step 5: Solve for x
    x = 45,754,483.08/7,980.54
  6. Step 6: Final answer
    x = 5,733.26

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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.