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Finding the Fourth Proportional to 10,674.87, 16,011.96 and 4,831.49

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Solution

The fourth proportional to 10,674.87, 16,011.96 and 4,831.49 is: 7,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.87 : 16,011.96 = 4,831.49 : x
  2. Step 2: Convert to fraction form
    10,674.87/16,011.96 = 4,831.49/x
  3. Step 3: Cross multiply
    10,674.87x = 16,011.96 × 4,831.49
  4. Step 4: Simplify right side
    10,674.87x = 77,361,544.56
  5. Step 5: Solve for x
    x = 77,361,544.56/10,674.87
  6. Step 6: Final answer
    x = 7,247.07

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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.