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Finding the Fourth Proportional to 10,690.49, 16,039.22 and 5,144.28

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Solution

The fourth proportional to 10,690.49, 16,039.22 and 5,144.28 is: 7,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.49 : 16,039.22 = 5,144.28 : x
  2. Step 2: Convert to fraction form
    10,690.49/16,039.22 = 5,144.28/x
  3. Step 3: Cross multiply
    10,690.49x = 16,039.22 × 5,144.28
  4. Step 4: Simplify right side
    10,690.49x = 82,510,238.66
  5. Step 5: Solve for x
    x = 82,510,238.66/10,690.49
  6. Step 6: Final answer
    x = 7,718.10

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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.