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Finding the Fourth Proportional to 10,690.40, 16,033.17 and 5,140.28

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Solution

The fourth proportional to 10,690.40, 16,033.17 and 5,140.28 is: 7,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.40 : 16,033.17 = 5,140.28 : x
  2. Step 2: Convert to fraction form
    10,690.40/16,033.17 = 5,140.28/x
  3. Step 3: Cross multiply
    10,690.40x = 16,033.17 × 5,140.28
  4. Step 4: Simplify right side
    10,690.40x = 82,414,983.09
  5. Step 5: Solve for x
    x = 82,414,983.09/10,690.40
  6. Step 6: Final answer
    x = 7,709.25

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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.