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Finding the Fourth Proportional to 6,842.20, 10,256.16 and 4,963.54

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Solution

The fourth proportional to 6,842.20, 10,256.16 and 4,963.54 is: 7,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.20 : 10,256.16 = 4,963.54 : x
  2. Step 2: Convert to fraction form
    6,842.20/10,256.16 = 4,963.54/x
  3. Step 3: Cross multiply
    6,842.20x = 10,256.16 × 4,963.54
  4. Step 4: Simplify right side
    6,842.20x = 50,906,860.41
  5. Step 5: Solve for x
    x = 50,906,860.41/6,842.20
  6. Step 6: Final answer
    x = 7,440.13

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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.