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Finding the Fourth Proportional to 10,892.49, 16,348.76 and 6,740.61

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Solution

The fourth proportional to 10,892.49, 16,348.76 and 6,740.61 is: 10,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.49 : 16,348.76 = 6,740.61 : x
  2. Step 2: Convert to fraction form
    10,892.49/16,348.76 = 6,740.61/x
  3. Step 3: Cross multiply
    10,892.49x = 16,348.76 × 6,740.61
  4. Step 4: Simplify right side
    10,892.49x = 110,200,581.44
  5. Step 5: Solve for x
    x = 110,200,581.44/10,892.49
  6. Step 6: Final answer
    x = 10,117.12

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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.