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Finding the Fourth Proportional to 7,761.10, 11,640.50 and 2,829.58

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Solution

The fourth proportional to 7,761.10, 11,640.50 and 2,829.58 is: 4,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.10 : 11,640.50 = 2,829.58 : x
  2. Step 2: Convert to fraction form
    7,761.10/11,640.50 = 2,829.58/x
  3. Step 3: Cross multiply
    7,761.10x = 11,640.50 × 2,829.58
  4. Step 4: Simplify right side
    7,761.10x = 32,937,725.99
  5. Step 5: Solve for x
    x = 32,937,725.99/7,761.10
  6. Step 6: Final answer
    x = 4,243.95

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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.