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Finding the Fourth Proportional to 11,536.92, 15,922.46 and 6,502.11

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Solution

The fourth proportional to 11,536.92, 15,922.46 and 6,502.11 is: 8,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.92 : 15,922.46 = 6,502.11 : x
  2. Step 2: Convert to fraction form
    11,536.92/15,922.46 = 6,502.11/x
  3. Step 3: Cross multiply
    11,536.92x = 15,922.46 × 6,502.11
  4. Step 4: Simplify right side
    11,536.92x = 103,529,553.88
  5. Step 5: Solve for x
    x = 103,529,553.88/11,536.92
  6. Step 6: Final answer
    x = 8,973.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.