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Finding the Fourth Proportional to 10,892.82, 16,338.91 and 3,101.63

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Solution

The fourth proportional to 10,892.82, 16,338.91 and 3,101.63 is: 4,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.82 : 16,338.91 = 3,101.63 : x
  2. Step 2: Convert to fraction form
    10,892.82/16,338.91 = 3,101.63/x
  3. Step 3: Cross multiply
    10,892.82x = 16,338.91 × 3,101.63
  4. Step 4: Simplify right side
    10,892.82x = 50,677,253.42
  5. Step 5: Solve for x
    x = 50,677,253.42/10,892.82
  6. Step 6: Final answer
    x = 4,652.35

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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.