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Finding the Fourth Proportional to 7,786.76, 11,673.59 and 3,624.65

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Solution

The fourth proportional to 7,786.76, 11,673.59 and 3,624.65 is: 5,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.76 : 11,673.59 = 3,624.65 : x
  2. Step 2: Convert to fraction form
    7,786.76/11,673.59 = 3,624.65/x
  3. Step 3: Cross multiply
    7,786.76x = 11,673.59 × 3,624.65
  4. Step 4: Simplify right side
    7,786.76x = 42,312,601.50
  5. Step 5: Solve for x
    x = 42,312,601.50/7,786.76
  6. Step 6: Final answer
    x = 5,433.92

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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.