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Finding the Fourth Proportional to 10,690.70, 16,039.28 and 5,142.46

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Solution

The fourth proportional to 10,690.70, 16,039.28 and 5,142.46 is: 7,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.70 : 16,039.28 = 5,142.46 : x
  2. Step 2: Convert to fraction form
    10,690.70/16,039.28 = 5,142.46/x
  3. Step 3: Cross multiply
    10,690.70x = 16,039.28 × 5,142.46
  4. Step 4: Simplify right side
    10,690.70x = 82,481,355.83
  5. Step 5: Solve for x
    x = 82,481,355.83/10,690.70
  6. Step 6: Final answer
    x = 7,715.24

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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.