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Finding the Fourth Proportional to 11,783.16, 17,673.83 and 6,849.65

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Solution

The fourth proportional to 11,783.16, 17,673.83 and 6,849.65 is: 10,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.16 : 17,673.83 = 6,849.65 : x
  2. Step 2: Convert to fraction form
    11,783.16/17,673.83 = 6,849.65/x
  3. Step 3: Cross multiply
    11,783.16x = 17,673.83 × 6,849.65
  4. Step 4: Simplify right side
    11,783.16x = 121,059,515.41
  5. Step 5: Solve for x
    x = 121,059,515.41/11,783.16
  6. Step 6: Final answer
    x = 10,273.94

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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.