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Finding the Fourth Proportional to 7,746, 11,624.44 and 3,364.68

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Solution

The fourth proportional to 7,746, 11,624.44 and 3,364.68 is: 5,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 11,624.44 = 3,364.68 : x
  2. Step 2: Convert to fraction form
    7,746/11,624.44 = 3,364.68/x
  3. Step 3: Cross multiply
    7,746x = 11,624.44 × 3,364.68
  4. Step 4: Simplify right side
    7,746x = 39,112,520.78
  5. Step 5: Solve for x
    x = 39,112,520.78/7,746
  6. Step 6: Final answer
    x = 5,049.38

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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.