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Finding the Fourth Proportional to 8,492.34, 12,732.03 and 4,105.38

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Solution

The fourth proportional to 8,492.34, 12,732.03 and 4,105.38 is: 6,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.34 : 12,732.03 = 4,105.38 : x
  2. Step 2: Convert to fraction form
    8,492.34/12,732.03 = 4,105.38/x
  3. Step 3: Cross multiply
    8,492.34x = 12,732.03 × 4,105.38
  4. Step 4: Simplify right side
    8,492.34x = 52,269,821.32
  5. Step 5: Solve for x
    x = 52,269,821.32/8,492.34
  6. Step 6: Final answer
    x = 6,154.94

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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.