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Finding the Fourth Proportional to 10,209.92, 15,314.99 and 3,189.65

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Solution

The fourth proportional to 10,209.92, 15,314.99 and 3,189.65 is: 4,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.92 : 15,314.99 = 3,189.65 : x
  2. Step 2: Convert to fraction form
    10,209.92/15,314.99 = 3,189.65/x
  3. Step 3: Cross multiply
    10,209.92x = 15,314.99 × 3,189.65
  4. Step 4: Simplify right side
    10,209.92x = 48,849,365.33
  5. Step 5: Solve for x
    x = 48,849,365.33/10,209.92
  6. Step 6: Final answer
    x = 4,784.50

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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.