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Finding the Fourth Proportional to 10,892.19, 16,338.28 and 3,101.00

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Solution

The fourth proportional to 10,892.19, 16,338.28 and 3,101.00 is: 4,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.19 : 16,338.28 = 3,101.00 : x
  2. Step 2: Convert to fraction form
    10,892.19/16,338.28 = 3,101.00/x
  3. Step 3: Cross multiply
    10,892.19x = 16,338.28 × 3,101.00
  4. Step 4: Simplify right side
    10,892.19x = 50,665,014.55
  5. Step 5: Solve for x
    x = 50,665,014.55/10,892.19
  6. Step 6: Final answer
    x = 4,651.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.