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Finding the Fourth Proportional to 11,782.66, 17,673.08 and 6,849.15

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Solution

The fourth proportional to 11,782.66, 17,673.08 and 6,849.15 is: 10,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.66 : 17,673.08 = 6,849.15 : x
  2. Step 2: Convert to fraction form
    11,782.66/17,673.08 = 6,849.15/x
  3. Step 3: Cross multiply
    11,782.66x = 17,673.08 × 6,849.15
  4. Step 4: Simplify right side
    11,782.66x = 121,045,541.64
  5. Step 5: Solve for x
    x = 121,045,541.64/11,782.66
  6. Step 6: Final answer
    x = 10,273.19

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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.