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Finding the Fourth Proportional to 7,821.92, 11,732.80 and 2,627.68

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Solution

The fourth proportional to 7,821.92, 11,732.80 and 2,627.68 is: 3,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.92 : 11,732.80 = 2,627.68 : x
  2. Step 2: Convert to fraction form
    7,821.92/11,732.80 = 2,627.68/x
  3. Step 3: Cross multiply
    7,821.92x = 11,732.80 × 2,627.68
  4. Step 4: Simplify right side
    7,821.92x = 30,830,043.90
  5. Step 5: Solve for x
    x = 30,830,043.90/7,821.92
  6. Step 6: Final answer
    x = 3,941.49

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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.