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Finding the Fourth Proportional to 11,982.30, 17,963.02 and 4,957.93

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Solution

The fourth proportional to 11,982.30, 17,963.02 and 4,957.93 is: 7,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.30 : 17,963.02 = 4,957.93 : x
  2. Step 2: Convert to fraction form
    11,982.30/17,963.02 = 4,957.93/x
  3. Step 3: Cross multiply
    11,982.30x = 17,963.02 × 4,957.93
  4. Step 4: Simplify right side
    11,982.30x = 89,059,395.75
  5. Step 5: Solve for x
    x = 89,059,395.75/11,982.30
  6. Step 6: Final answer
    x = 7,432.58

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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.