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Finding the Fourth Proportional to 10,831.42, 16,247.02 and 3,435.69

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Solution

The fourth proportional to 10,831.42, 16,247.02 and 3,435.69 is: 5,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.42 : 16,247.02 = 3,435.69 : x
  2. Step 2: Convert to fraction form
    10,831.42/16,247.02 = 3,435.69/x
  3. Step 3: Cross multiply
    10,831.42x = 16,247.02 × 3,435.69
  4. Step 4: Simplify right side
    10,831.42x = 55,819,724.14
  5. Step 5: Solve for x
    x = 55,819,724.14/10,831.42
  6. Step 6: Final answer
    x = 5,153.50

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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.