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Finding the Fourth Proportional to 10,956.75, 16,435.13 and 3,660.75

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Solution

The fourth proportional to 10,956.75, 16,435.13 and 3,660.75 is: 5,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.75 : 16,435.13 = 3,660.75 : x
  2. Step 2: Convert to fraction form
    10,956.75/16,435.13 = 3,660.75/x
  3. Step 3: Cross multiply
    10,956.75x = 16,435.13 × 3,660.75
  4. Step 4: Simplify right side
    10,956.75x = 60,164,883.84
  5. Step 5: Solve for x
    x = 60,164,883.84/10,956.75
  6. Step 6: Final answer
    x = 5,491.13

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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.