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Finding the Fourth Proportional to 6,892.49, 10,325.69 and 4,072.90

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Solution

The fourth proportional to 6,892.49, 10,325.69 and 4,072.90 is: 6,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.49 : 10,325.69 = 4,072.90 : x
  2. Step 2: Convert to fraction form
    6,892.49/10,325.69 = 4,072.90/x
  3. Step 3: Cross multiply
    6,892.49x = 10,325.69 × 4,072.90
  4. Step 4: Simplify right side
    6,892.49x = 42,055,487.17
  5. Step 5: Solve for x
    x = 42,055,487.17/6,892.49
  6. Step 6: Final answer
    x = 6,101.64

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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.