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Finding the Fourth Proportional to 11,983.68, 17,962.02 and 5,735.07

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Solution

The fourth proportional to 11,983.68, 17,962.02 and 5,735.07 is: 8,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.68 : 17,962.02 = 5,735.07 : x
  2. Step 2: Convert to fraction form
    11,983.68/17,962.02 = 5,735.07/x
  3. Step 3: Cross multiply
    11,983.68x = 17,962.02 × 5,735.07
  4. Step 4: Simplify right side
    11,983.68x = 103,013,442.04
  5. Step 5: Solve for x
    x = 103,013,442.04/11,983.68
  6. Step 6: Final answer
    x = 8,596.14

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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.