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Finding the Fourth Proportional to 10,817.58, 16,227 and 3,892.08

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Solution

The fourth proportional to 10,817.58, 16,227 and 3,892.08 is: 5,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.58 : 16,227 = 3,892.08 : x
  2. Step 2: Convert to fraction form
    10,817.58/16,227 = 3,892.08/x
  3. Step 3: Cross multiply
    10,817.58x = 16,227 × 3,892.08
  4. Step 4: Simplify right side
    10,817.58x = 63,156,782.16
  5. Step 5: Solve for x
    x = 63,156,782.16/10,817.58
  6. Step 6: Final answer
    x = 5,838.35

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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.