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Finding the Fourth Proportional to 11,492.25, 17,227.98 and 7,983.90

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Solution

The fourth proportional to 11,492.25, 17,227.98 and 7,983.90 is: 11,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.25 : 17,227.98 = 7,983.90 : x
  2. Step 2: Convert to fraction form
    11,492.25/17,227.98 = 7,983.90/x
  3. Step 3: Cross multiply
    11,492.25x = 17,227.98 × 7,983.90
  4. Step 4: Simplify right side
    11,492.25x = 137,546,429.60
  5. Step 5: Solve for x
    x = 137,546,429.60/11,492.25
  6. Step 6: Final answer
    x = 11,968.62

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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.