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Finding the Fourth Proportional to 8,492.49, 11,724.27 and 5,136.19

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Solution

The fourth proportional to 8,492.49, 11,724.27 and 5,136.19 is: 7,090.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.49 : 11,724.27 = 5,136.19 : x
  2. Step 2: Convert to fraction form
    8,492.49/11,724.27 = 5,136.19/x
  3. Step 3: Cross multiply
    8,492.49x = 11,724.27 × 5,136.19
  4. Step 4: Simplify right side
    8,492.49x = 60,218,078.33
  5. Step 5: Solve for x
    x = 60,218,078.33/8,492.49
  6. Step 6: Final answer
    x = 7,090.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.