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Finding the Fourth Proportional to 12,757.44, 19,128.76 and 4,957.16

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Solution

The fourth proportional to 12,757.44, 19,128.76 and 4,957.16 is: 7,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.44 : 19,128.76 = 4,957.16 : x
  2. Step 2: Convert to fraction form
    12,757.44/19,128.76 = 4,957.16/x
  3. Step 3: Cross multiply
    12,757.44x = 19,128.76 × 4,957.16
  4. Step 4: Simplify right side
    12,757.44x = 94,824,323.92
  5. Step 5: Solve for x
    x = 94,824,323.92/12,757.44
  6. Step 6: Final answer
    x = 7,432.86

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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.