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Finding the Fourth Proportional to 11,674.24, 17,526.64 and 6,939.08

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Solution

The fourth proportional to 11,674.24, 17,526.64 and 6,939.08 is: 10,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.24 : 17,526.64 = 6,939.08 : x
  2. Step 2: Convert to fraction form
    11,674.24/17,526.64 = 6,939.08/x
  3. Step 3: Cross multiply
    11,674.24x = 17,526.64 × 6,939.08
  4. Step 4: Simplify right side
    11,674.24x = 121,618,757.09
  5. Step 5: Solve for x
    x = 121,618,757.09/11,674.24
  6. Step 6: Final answer
    x = 10,417.70

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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.