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Finding the Fourth Proportional to 8,492.56, 11,716.92 and 5,136.40

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Solution

The fourth proportional to 8,492.56, 11,716.92 and 5,136.40 is: 7,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.56 : 11,716.92 = 5,136.40 : x
  2. Step 2: Convert to fraction form
    8,492.56/11,716.92 = 5,136.40/x
  3. Step 3: Cross multiply
    8,492.56x = 11,716.92 × 5,136.40
  4. Step 4: Simplify right side
    8,492.56x = 60,182,787.89
  5. Step 5: Solve for x
    x = 60,182,787.89/8,492.56
  6. Step 6: Final answer
    x = 7,086.53

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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.