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Finding the Fourth Proportional to 11,751.95, 17,624.46 and 3,429.35

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Solution

The fourth proportional to 11,751.95, 17,624.46 and 3,429.35 is: 5,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.95 : 17,624.46 = 3,429.35 : x
  2. Step 2: Convert to fraction form
    11,751.95/17,624.46 = 3,429.35/x
  3. Step 3: Cross multiply
    11,751.95x = 17,624.46 × 3,429.35
  4. Step 4: Simplify right side
    11,751.95x = 60,440,441.90
  5. Step 5: Solve for x
    x = 60,440,441.90/11,751.95
  6. Step 6: Final answer
    x = 5,143.01

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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.