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Finding the Fourth Proportional to 11,676.24, 17,529.64 and 6,941.08

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Solution

The fourth proportional to 11,676.24, 17,529.64 and 6,941.08 is: 10,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.24 : 17,529.64 = 6,941.08 : x
  2. Step 2: Convert to fraction form
    11,676.24/17,529.64 = 6,941.08/x
  3. Step 3: Cross multiply
    11,676.24x = 17,529.64 × 6,941.08
  4. Step 4: Simplify right side
    11,676.24x = 121,674,633.61
  5. Step 5: Solve for x
    x = 121,674,633.61/11,676.24
  6. Step 6: Final answer
    x = 10,420.70

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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.